gcf of 504 and 5292

Question

whats the greatest common factor of 504 and 5292.

Answer 1

Greatest common factor is greatest number that divides both the numbers without a remainder.

Find the prime factors of each number

504 = 1 * 2^3 * 3^2 * 7

5292 = 1 * 2^2 * 3^3 * 7^2

The common factors are  1, 2, 3,and 7.

The greatest common factor is 7.

 

Comments

The GCF of 504 and 5292 is 252.

Answer 2

The GCF is the product of the common prime factors in each number.

Factor each monomial and Circle the common prime factors.

The product of common prime factors, 2•2•3•3•7 or 252 is called the greatest common factor of 504, 5292.