What is the Greatest Common Factor of 51464 and 51478?

Greatest common factor (GCF) of 51464 and 51478 is 14.

GCF(51464,51478) = 14

We will now calculate the prime factors of 51464 and 51478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51464 and 51478.

How to find the GCF of 51464 and 51478?

We will first find the prime factorization of 51464 and 51478. After we will calculate the factors of 51464 and 51478 and find the biggest common factor number .

Step-1: Prime Factorization of 51464

Prime factors of 51464 are 2, 7, 919. Prime factorization of 51464 in exponential form is:

51464 = 2³ × 7¹ × 919¹

Step-2: Prime Factorization of 51478

Prime factors of 51478 are 2, 7, 3677. Prime factorization of 51478 in exponential form is:

51478 = 2¹ × 7¹ × 3677¹

Step-3: Factors of 51464

List of positive integer factors of 51464 that divides 51464 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 919, 1838, 3676, 6433, 7352, 12866, 25732

Step-4: Factors of 51478

List of positive integer factors of 51478 that divides 51464 without a remainder.

1, 2, 7, 14, 3677, 7354, 25739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51464 and 51478. The biggest common factor number is the GCF number.
So the greatest common factor 51464 and 51478 is 14.

Also check out the Least Common Multiple of 51464 and 51478