What is the Greatest Common Factor of 51464 and 51482?

Greatest common factor (GCF) of 51464 and 51482 is 2.

GCF(51464,51482) = 2

We will now calculate the prime factors of 51464 and 51482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51464 and 51482.

How to find the GCF of 51464 and 51482?

We will first find the prime factorization of 51464 and 51482. After we will calculate the factors of 51464 and 51482 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 51482

Prime factors of 51482 are 2, 25741. Prime factorization of 51482 in exponential form is:

51482 = 2¹ × 25741¹

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 51482

List of positive integer factors of 51482 that divides 51464 without a remainder.

1, 2, 25741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51464 and 51482. The biggest common factor number is the GCF number.
So the greatest common factor 51464 and 51482 is 2.

Also check out the Least Common Multiple of 51464 and 51482