What is the Greatest Common Factor of 76514 and 76524?

Greatest common factor (GCF) of 76514 and 76524 is 2.

GCF(76514,76524) = 2

We will now calculate the prime factors of 76514 and 76524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76514 and 76524.

How to find the GCF of 76514 and 76524?

We will first find the prime factorization of 76514 and 76524. After we will calculate the factors of 76514 and 76524 and find the biggest common factor number .

Step-1: Prime Factorization of 76514

Prime factors of 76514 are 2, 67, 571. Prime factorization of 76514 in exponential form is:

76514 = 2¹ × 67¹ × 571¹

Step-2: 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-3: Factors of 76514

List of positive integer factors of 76514 that divides 76514 without a remainder.

1, 2, 67, 134, 571, 1142, 38257

Step-4: Factors of 76524

List of positive integer factors of 76524 that divides 76514 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76514 and 76524. The biggest common factor number is the GCF number.
So the greatest common factor 76514 and 76524 is 2.

Also check out the Least Common Multiple of 76514 and 76524