What is the Greatest Common Factor of 51454 and 51472?

Greatest common factor (GCF) of 51454 and 51472 is 2.

GCF(51454,51472) = 2

We will now calculate the prime factors of 51454 and 51472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51454 and 51472.

How to find the GCF of 51454 and 51472?

We will first find the prime factorization of 51454 and 51472. After we will calculate the factors of 51454 and 51472 and find the biggest common factor number .

Step-1: Prime Factorization of 51454

Prime factors of 51454 are 2, 13, 1979. Prime factorization of 51454 in exponential form is:

51454 = 2¹ × 13¹ × 1979¹

Step-2: Prime Factorization of 51472

Prime factors of 51472 are 2, 3217. Prime factorization of 51472 in exponential form is:

51472 = 2⁴ × 3217¹

Step-3: Factors of 51454

List of positive integer factors of 51454 that divides 51454 without a remainder.

1, 2, 13, 26, 1979, 3958, 25727

Step-4: Factors of 51472

List of positive integer factors of 51472 that divides 51454 without a remainder.

1, 2, 4, 8, 16, 3217, 6434, 12868, 25736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51454 and 51472. The biggest common factor number is the GCF number.
So the greatest common factor 51454 and 51472 is 2.

Also check out the Least Common Multiple of 51454 and 51472