What is the Greatest Common Factor of 51262 and 51278?

Greatest common factor (GCF) of 51262 and 51278 is 2.

GCF(51262,51278) = 2

We will now calculate the prime factors of 51262 and 51278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51262 and 51278.

How to find the GCF of 51262 and 51278?

We will first find the prime factorization of 51262 and 51278. After we will calculate the factors of 51262 and 51278 and find the biggest common factor number .

Step-1: Prime Factorization of 51262

Prime factors of 51262 are 2, 19, 71. Prime factorization of 51262 in exponential form is:

51262 = 2¹ × 19² × 71¹

Step-2: Prime Factorization of 51278

Prime factors of 51278 are 2, 25639. Prime factorization of 51278 in exponential form is:

51278 = 2¹ × 25639¹

Step-3: Factors of 51262

List of positive integer factors of 51262 that divides 51262 without a remainder.

1, 2, 19, 38, 71, 142, 361, 722, 1349, 2698, 25631

Step-4: Factors of 51278

List of positive integer factors of 51278 that divides 51262 without a remainder.

1, 2, 25639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51262 and 51278. The biggest common factor number is the GCF number.
So the greatest common factor 51262 and 51278 is 2.

Also check out the Least Common Multiple of 51262 and 51278