What is the Greatest Common Factor of 15642 and 15651?

Greatest common factor (GCF) of 15642 and 15651 is 9.

GCF(15642,15651) = 9

We will now calculate the prime factors of 15642 and 15651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15642 and 15651.

How to find the GCF of 15642 and 15651?

We will first find the prime factorization of 15642 and 15651. After we will calculate the factors of 15642 and 15651 and find the biggest common factor number .

Step-1: Prime Factorization of 15642

Prime factors of 15642 are 2, 3, 11, 79. Prime factorization of 15642 in exponential form is:

15642 = 2¹ × 3² × 11¹ × 79¹

Step-2: Prime Factorization of 15651

Prime factors of 15651 are 3, 37, 47. Prime factorization of 15651 in exponential form is:

15651 = 3² × 37¹ × 47¹

Step-3: Factors of 15642

List of positive integer factors of 15642 that divides 15642 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 79, 99, 158, 198, 237, 474, 711, 869, 1422, 1738, 2607, 5214, 7821

Step-4: Factors of 15651

List of positive integer factors of 15651 that divides 15642 without a remainder.

1, 3, 9, 37, 47, 111, 141, 333, 423, 1739, 5217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15642 and 15651. The biggest common factor number is the GCF number.
So the greatest common factor 15642 and 15651 is 9.

Also check out the Least Common Multiple of 15642 and 15651