What is the Greatest Common Factor of 51961 and 51974?

Greatest common factor (GCF) of 51961 and 51974 is 13.

GCF(51961,51974) = 13

We will now calculate the prime factors of 51961 and 51974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51961 and 51974.

How to find the GCF of 51961 and 51974?

We will first find the prime factorization of 51961 and 51974. After we will calculate the factors of 51961 and 51974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51974

Prime factors of 51974 are 2, 13, 1999. Prime factorization of 51974 in exponential form is:

51974 = 2¹ × 13¹ × 1999¹

Step-3: Factors of 51961

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

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

Step-4: Factors of 51974

List of positive integer factors of 51974 that divides 51961 without a remainder.

1, 2, 13, 26, 1999, 3998, 25987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51961 and 51974. The biggest common factor number is the GCF number.
So the greatest common factor 51961 and 51974 is 13.

Also check out the Least Common Multiple of 51961 and 51974