What is the Greatest Common Factor of 51974 and 51987?

Greatest common factor (GCF) of 51974 and 51987 is 13.

GCF(51974,51987) = 13

We will now calculate the prime factors of 51974 and 51987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51974 and 51987.

How to find the GCF of 51974 and 51987?

We will first find the prime factorization of 51974 and 51987. After we will calculate the factors of 51974 and 51987 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51987

Prime factors of 51987 are 3, 13, 31, 43. Prime factorization of 51987 in exponential form is:

51987 = 3¹ × 13¹ × 31¹ × 43¹

Step-3: Factors of 51974

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

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

Step-4: Factors of 51987

List of positive integer factors of 51987 that divides 51974 without a remainder.

1, 3, 13, 31, 39, 43, 93, 129, 403, 559, 1209, 1333, 1677, 3999, 17329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51974 and 51987. The biggest common factor number is the GCF number.
So the greatest common factor 51974 and 51987 is 13.

Also check out the Least Common Multiple of 51974 and 51987