What is the Greatest Common Factor of 51462 and 51478?

Greatest common factor (GCF) of 51462 and 51478 is 2.

GCF(51462,51478) = 2

We will now calculate the prime factors of 51462 and 51478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51462 and 51478.

How to find the GCF of 51462 and 51478?

We will first find the prime factorization of 51462 and 51478. After we will calculate the factors of 51462 and 51478 and find the biggest common factor number .

Step-1: Prime Factorization of 51462

Prime factors of 51462 are 2, 3, 953. Prime factorization of 51462 in exponential form is:

51462 = 2¹ × 3³ × 953¹

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 51462

List of positive integer factors of 51462 that divides 51462 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 953, 1906, 2859, 5718, 8577, 17154, 25731

Step-4: Factors of 51478

List of positive integer factors of 51478 that divides 51462 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51462 and 51478. The biggest common factor number is the GCF number.
So the greatest common factor 51462 and 51478 is 2.

Also check out the Least Common Multiple of 51462 and 51478