What is the Greatest Common Factor of 51376 and 51382?

Greatest common factor (GCF) of 51376 and 51382 is 2.

GCF(51376,51382) = 2

We will now calculate the prime factors of 51376 and 51382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51376 and 51382.

How to find the GCF of 51376 and 51382?

We will first find the prime factorization of 51376 and 51382. After we will calculate the factors of 51376 and 51382 and find the biggest common factor number .

Step-1: Prime Factorization of 51376

Prime factors of 51376 are 2, 13, 19. Prime factorization of 51376 in exponential form is:

51376 = 2⁴ × 13² × 19¹

Step-2: Prime Factorization of 51382

Prime factors of 51382 are 2, 23, 1117. Prime factorization of 51382 in exponential form is:

51382 = 2¹ × 23¹ × 1117¹

Step-3: Factors of 51376

List of positive integer factors of 51376 that divides 51376 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 169, 208, 247, 304, 338, 494, 676, 988, 1352, 1976, 2704, 3211, 3952, 6422, 12844, 25688

Step-4: Factors of 51382

List of positive integer factors of 51382 that divides 51376 without a remainder.

1, 2, 23, 46, 1117, 2234, 25691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51376 and 51382. The biggest common factor number is the GCF number.
So the greatest common factor 51376 and 51382 is 2.

Also check out the Least Common Multiple of 51376 and 51382