What is the Greatest Common Factor of 51632 and 51646?

Greatest common factor (GCF) of 51632 and 51646 is 14.

GCF(51632,51646) = 14

We will now calculate the prime factors of 51632 and 51646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51632 and 51646.

How to find the GCF of 51632 and 51646?

We will first find the prime factorization of 51632 and 51646. After we will calculate the factors of 51632 and 51646 and find the biggest common factor number .

Step-1: Prime Factorization of 51632

Prime factors of 51632 are 2, 7, 461. Prime factorization of 51632 in exponential form is:

51632 = 2⁴ × 7¹ × 461¹

Step-2: Prime Factorization of 51646

Prime factors of 51646 are 2, 7, 17, 31. Prime factorization of 51646 in exponential form is:

51646 = 2¹ × 7² × 17¹ × 31¹

Step-3: Factors of 51632

List of positive integer factors of 51632 that divides 51632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 461, 922, 1844, 3227, 3688, 6454, 7376, 12908, 25816

Step-4: Factors of 51646

List of positive integer factors of 51646 that divides 51632 without a remainder.

1, 2, 7, 14, 17, 31, 34, 49, 62, 98, 119, 217, 238, 434, 527, 833, 1054, 1519, 1666, 3038, 3689, 7378, 25823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51632 and 51646. The biggest common factor number is the GCF number.
So the greatest common factor 51632 and 51646 is 14.

Also check out the Least Common Multiple of 51632 and 51646