What is the Greatest Common Factor of 51356 and 51374?

Greatest common factor (GCF) of 51356 and 51374 is 2.

GCF(51356,51374) = 2

We will now calculate the prime factors of 51356 and 51374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51356 and 51374.

How to find the GCF of 51356 and 51374?

We will first find the prime factorization of 51356 and 51374. After we will calculate the factors of 51356 and 51374 and find the biggest common factor number .

Step-1: Prime Factorization of 51356

Prime factors of 51356 are 2, 37, 347. Prime factorization of 51356 in exponential form is:

51356 = 2² × 37¹ × 347¹

Step-2: Prime Factorization of 51374

Prime factors of 51374 are 2, 17, 1511. Prime factorization of 51374 in exponential form is:

51374 = 2¹ × 17¹ × 1511¹

Step-3: Factors of 51356

List of positive integer factors of 51356 that divides 51356 without a remainder.

1, 2, 4, 37, 74, 148, 347, 694, 1388, 12839, 25678

Step-4: Factors of 51374

List of positive integer factors of 51374 that divides 51356 without a remainder.

1, 2, 17, 34, 1511, 3022, 25687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51356 and 51374. The biggest common factor number is the GCF number.
So the greatest common factor 51356 and 51374 is 2.

Also check out the Least Common Multiple of 51356 and 51374