What is the Greatest Common Factor of 51438 and 51454?

Greatest common factor (GCF) of 51438 and 51454 is 2.

GCF(51438,51454) = 2

We will now calculate the prime factors of 51438 and 51454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51438 and 51454.

How to find the GCF of 51438 and 51454?

We will first find the prime factorization of 51438 and 51454. After we will calculate the factors of 51438 and 51454 and find the biggest common factor number .

Step-1: Prime Factorization of 51438

Prime factors of 51438 are 2, 3, 8573. Prime factorization of 51438 in exponential form is:

51438 = 2¹ × 3¹ × 8573¹

Step-2: 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-3: Factors of 51438

List of positive integer factors of 51438 that divides 51438 without a remainder.

1, 2, 3, 6, 8573, 17146, 25719

Step-4: Factors of 51454

List of positive integer factors of 51454 that divides 51438 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51438 and 51454. The biggest common factor number is the GCF number.
So the greatest common factor 51438 and 51454 is 2.

Also check out the Least Common Multiple of 51438 and 51454