What is the Greatest Common Factor of 51642 and 51651?

Greatest common factor (GCF) of 51642 and 51651 is 9.

GCF(51642,51651) = 9

We will now calculate the prime factors of 51642 and 51651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51642 and 51651.

How to find the GCF of 51642 and 51651?

We will first find the prime factorization of 51642 and 51651. After we will calculate the factors of 51642 and 51651 and find the biggest common factor number .

Step-1: Prime Factorization of 51642

Prime factors of 51642 are 2, 3, 19, 151. Prime factorization of 51642 in exponential form is:

51642 = 2¹ × 3² × 19¹ × 151¹

Step-2: Prime Factorization of 51651

Prime factors of 51651 are 3, 1913. Prime factorization of 51651 in exponential form is:

51651 = 3³ × 1913¹

Step-3: Factors of 51642

List of positive integer factors of 51642 that divides 51642 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 151, 171, 302, 342, 453, 906, 1359, 2718, 2869, 5738, 8607, 17214, 25821

Step-4: Factors of 51651

List of positive integer factors of 51651 that divides 51642 without a remainder.

1, 3, 9, 27, 1913, 5739, 17217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51642 and 51651. The biggest common factor number is the GCF number.
So the greatest common factor 51642 and 51651 is 9.

Also check out the Least Common Multiple of 51642 and 51651