What is the Greatest Common Factor of 76524 and 76542?

Greatest common factor (GCF) of 76524 and 76542 is 6.

GCF(76524,76542) = 6

We will now calculate the prime factors of 76524 and 76542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76524 and 76542.

How to find the GCF of 76524 and 76542?

We will first find the prime factorization of 76524 and 76542. After we will calculate the factors of 76524 and 76542 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 76542

Prime factors of 76542 are 2, 3, 12757. Prime factorization of 76542 in exponential form is:

76542 = 2¹ × 3¹ × 12757¹

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 76542

List of positive integer factors of 76542 that divides 76524 without a remainder.

1, 2, 3, 6, 12757, 25514, 38271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76524 and 76542. The biggest common factor number is the GCF number.
So the greatest common factor 76524 and 76542 is 6.

Also check out the Least Common Multiple of 76524 and 76542