What is the Greatest Common Factor of 76512 and 76532?

Greatest common factor (GCF) of 76512 and 76532 is 4.

GCF(76512,76532) = 4

We will now calculate the prime factors of 76512 and 76532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76512 and 76532.

How to find the GCF of 76512 and 76532?

We will first find the prime factorization of 76512 and 76532. After we will calculate the factors of 76512 and 76532 and find the biggest common factor number .

Step-1: Prime Factorization of 76512

Prime factors of 76512 are 2, 3, 797. Prime factorization of 76512 in exponential form is:

76512 = 2⁵ × 3¹ × 797¹

Step-2: Prime Factorization of 76532

Prime factors of 76532 are 2, 19, 53. Prime factorization of 76532 in exponential form is:

76532 = 2² × 19² × 53¹

Step-3: Factors of 76512

List of positive integer factors of 76512 that divides 76512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 797, 1594, 2391, 3188, 4782, 6376, 9564, 12752, 19128, 25504, 38256

Step-4: Factors of 76532

List of positive integer factors of 76532 that divides 76512 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 361, 722, 1007, 1444, 2014, 4028, 19133, 38266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76512 and 76532. The biggest common factor number is the GCF number.
So the greatest common factor 76512 and 76532 is 4.

Also check out the Least Common Multiple of 76512 and 76532