What is the Greatest Common Factor of 51357 and 51376?

Greatest common factor (GCF) of 51357 and 51376 is 19.

GCF(51357,51376) = 19

We will now calculate the prime factors of 51357 and 51376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51357 and 51376.

How to find the GCF of 51357 and 51376?

We will first find the prime factorization of 51357 and 51376. After we will calculate the factors of 51357 and 51376 and find the biggest common factor number .

Step-1: Prime Factorization of 51357

Prime factors of 51357 are 3, 17, 19, 53. Prime factorization of 51357 in exponential form is:

51357 = 3¹ × 17¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 51357

List of positive integer factors of 51357 that divides 51357 without a remainder.

1, 3, 17, 19, 51, 53, 57, 159, 323, 901, 969, 1007, 2703, 3021, 17119

Step-4: Factors of 51376

List of positive integer factors of 51376 that divides 51357 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51357 and 51376. The biggest common factor number is the GCF number.
So the greatest common factor 51357 and 51376 is 19.

Also check out the Least Common Multiple of 51357 and 51376