What is the Greatest Common Factor of 76524 and 76531?

Greatest common factor (GCF) of 76524 and 76531 is 7.

GCF(76524,76531) = 7

We will now calculate the prime factors of 76524 and 76531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76524 and 76531.

How to find the GCF of 76524 and 76531?

We will first find the prime factorization of 76524 and 76531. After we will calculate the factors of 76524 and 76531 and find the biggest common factor number .

Step-1: Prime Factorization of 76524

Prime factors of 76524 are 2, 3, 7, 911. Prime factorization of 76524 in exponential form is:

76524 = 2² × 3¹ × 7¹ × 911¹

Step-2: Prime Factorization of 76531

Prime factors of 76531 are 7, 13, 29. Prime factorization of 76531 in exponential form is:

76531 = 7¹ × 13¹ × 29²

Step-3: Factors of 76524

List of positive integer factors of 76524 that divides 76524 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 911, 1822, 2733, 3644, 5466, 6377, 10932, 12754, 19131, 25508, 38262

Step-4: Factors of 76531

List of positive integer factors of 76531 that divides 76524 without a remainder.

1, 7, 13, 29, 91, 203, 377, 841, 2639, 5887, 10933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76524 and 76531. The biggest common factor number is the GCF number.
So the greatest common factor 76524 and 76531 is 7.

Also check out the Least Common Multiple of 76524 and 76531