What is the Greatest Common Factor of 76638 and 76653?

Greatest common factor (GCF) of 76638 and 76653 is 3.

GCF(76638,76653) = 3

We will now calculate the prime factors of 76638 and 76653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76638 and 76653.

How to find the GCF of 76638 and 76653?

We will first find the prime factorization of 76638 and 76653. After we will calculate the factors of 76638 and 76653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76653

Prime factors of 76653 are 3, 17, 167. Prime factorization of 76653 in exponential form is:

76653 = 3³ × 17¹ × 167¹

Step-3: Factors of 76638

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

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

Step-4: Factors of 76653

List of positive integer factors of 76653 that divides 76638 without a remainder.

1, 3, 9, 17, 27, 51, 153, 167, 459, 501, 1503, 2839, 4509, 8517, 25551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76638 and 76653. The biggest common factor number is the GCF number.
So the greatest common factor 76638 and 76653 is 3.

Also check out the Least Common Multiple of 76638 and 76653