What is the Greatest Common Factor of 51929 and 51948?

Greatest common factor (GCF) of 51929 and 51948 is 1.

GCF(51929,51948) = 1

We will now calculate the prime factors of 51929 and 51948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51929 and 51948.

How to find the GCF of 51929 and 51948?

We will first find the prime factorization of 51929 and 51948. After we will calculate the factors of 51929 and 51948 and find the biggest common factor number .

Step-1: Prime Factorization of 51929

Prime factors of 51929 are 51929. Prime factorization of 51929 in exponential form is:

51929 = 51929¹

Step-2: Prime Factorization of 51948

Prime factors of 51948 are 2, 3, 13, 37. Prime factorization of 51948 in exponential form is:

51948 = 2² × 3³ × 13¹ × 37¹

Step-3: Factors of 51929

List of positive integer factors of 51929 that divides 51929 without a remainder.

Step-4: Factors of 51948

List of positive integer factors of 51948 that divides 51929 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 37, 39, 52, 54, 74, 78, 108, 111, 117, 148, 156, 222, 234, 333, 351, 444, 468, 481, 666, 702, 962, 999, 1332, 1404, 1443, 1924, 1998, 2886, 3996, 4329, 5772, 8658, 12987, 17316, 25974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51929 and 51948. The biggest common factor number is the GCF number.
So the greatest common factor 51929 and 51948 is 1.

Also check out the Least Common Multiple of 51929 and 51948