What is the Greatest Common Factor of 76628 and 76632?

Greatest common factor (GCF) of 76628 and 76632 is 4.

GCF(76628,76632) = 4

We will now calculate the prime factors of 76628 and 76632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76628 and 76632.

How to find the GCF of 76628 and 76632?

We will first find the prime factorization of 76628 and 76632. After we will calculate the factors of 76628 and 76632 and find the biggest common factor number .

Step-1: Prime Factorization of 76628

Prime factors of 76628 are 2, 19157. Prime factorization of 76628 in exponential form is:

76628 = 2² × 19157¹

Step-2: Prime Factorization of 76632

Prime factors of 76632 are 2, 3, 31, 103. Prime factorization of 76632 in exponential form is:

76632 = 2³ × 3¹ × 31¹ × 103¹

Step-3: Factors of 76628

List of positive integer factors of 76628 that divides 76628 without a remainder.

1, 2, 4, 19157, 38314

Step-4: Factors of 76632

List of positive integer factors of 76632 that divides 76628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 103, 124, 186, 206, 248, 309, 372, 412, 618, 744, 824, 1236, 2472, 3193, 6386, 9579, 12772, 19158, 25544, 38316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76628 and 76632. The biggest common factor number is the GCF number.
So the greatest common factor 76628 and 76632 is 4.

Also check out the Least Common Multiple of 76628 and 76632