What is the Greatest Common Factor of 76632 and 76638?

Greatest common factor (GCF) of 76632 and 76638 is 6.

GCF(76632,76638) = 6

We will now calculate the prime factors of 76632 and 76638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76632 and 76638.

How to find the GCF of 76632 and 76638?

We will first find the prime factorization of 76632 and 76638. After we will calculate the factors of 76632 and 76638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76638

Prime factors of 76638 are 2, 3, 53, 241. Prime factorization of 76638 in exponential form is:

76638 = 2¹ × 3¹ × 53¹ × 241¹

Step-3: Factors of 76632

List of positive integer factors of 76632 that divides 76632 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

Step-4: Factors of 76638

List of positive integer factors of 76638 that divides 76632 without a remainder.

1, 2, 3, 6, 53, 106, 159, 241, 318, 482, 723, 1446, 12773, 25546, 38319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76632 and 76638. The biggest common factor number is the GCF number.
So the greatest common factor 76632 and 76638 is 6.

Also check out the Least Common Multiple of 76632 and 76638