What is the Greatest Common Factor of 51948 and 51961?

Greatest common factor (GCF) of 51948 and 51961 is 13.

GCF(51948,51961) = 13

We will now calculate the prime factors of 51948 and 51961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51948 and 51961.

How to find the GCF of 51948 and 51961?

We will first find the prime factorization of 51948 and 51961. After we will calculate the factors of 51948 and 51961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51961

Prime factors of 51961 are 7, 13, 571. Prime factorization of 51961 in exponential form is:

51961 = 7¹ × 13¹ × 571¹

Step-3: Factors of 51948

List of positive integer factors of 51948 that divides 51948 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

Step-4: Factors of 51961

List of positive integer factors of 51961 that divides 51948 without a remainder.

1, 7, 13, 91, 571, 3997, 7423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51948 and 51961. The biggest common factor number is the GCF number.
So the greatest common factor 51948 and 51961 is 13.

Also check out the Least Common Multiple of 51948 and 51961