What is the Greatest Common Factor of 51642 and 51661?

Greatest common factor (GCF) of 51642 and 51661 is 19.

GCF(51642,51661) = 19

We will now calculate the prime factors of 51642 and 51661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51642 and 51661.

How to find the GCF of 51642 and 51661?

We will first find the prime factorization of 51642 and 51661. After we will calculate the factors of 51642 and 51661 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 51661

Prime factors of 51661 are 19, 2719. Prime factorization of 51661 in exponential form is:

51661 = 19¹ × 2719¹

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 51661

List of positive integer factors of 51661 that divides 51642 without a remainder.

1, 19, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51642 and 51661. The biggest common factor number is the GCF number.
So the greatest common factor 51642 and 51661 is 19.

Also check out the Least Common Multiple of 51642 and 51661