What is the Greatest Common Factor of 51642 and 51648?

Greatest common factor (GCF) of 51642 and 51648 is 6.

GCF(51642,51648) = 6

We will now calculate the prime factors of 51642 and 51648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51642 and 51648.

How to find the GCF of 51642 and 51648?

We will first find the prime factorization of 51642 and 51648. After we will calculate the factors of 51642 and 51648 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 51648

Prime factors of 51648 are 2, 3, 269. Prime factorization of 51648 in exponential form is:

51648 = 2⁶ × 3¹ × 269¹

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 51648

List of positive integer factors of 51648 that divides 51642 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 269, 538, 807, 1076, 1614, 2152, 3228, 4304, 6456, 8608, 12912, 17216, 25824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51642 and 51648. The biggest common factor number is the GCF number.
So the greatest common factor 51642 and 51648 is 6.

Also check out the Least Common Multiple of 51642 and 51648