What is the Greatest Common Factor of 51020 and 51038?

Greatest common factor (GCF) of 51020 and 51038 is 2.

GCF(51020,51038) = 2

We will now calculate the prime factors of 51020 and 51038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51020 and 51038.

How to find the GCF of 51020 and 51038?

We will first find the prime factorization of 51020 and 51038. After we will calculate the factors of 51020 and 51038 and find the biggest common factor number .

Step-1: Prime Factorization of 51020

Prime factors of 51020 are 2, 5, 2551. Prime factorization of 51020 in exponential form is:

51020 = 2² × 5¹ × 2551¹

Step-2: Prime Factorization of 51038

Prime factors of 51038 are 2, 13, 151. Prime factorization of 51038 in exponential form is:

51038 = 2¹ × 13² × 151¹

Step-3: Factors of 51020

List of positive integer factors of 51020 that divides 51020 without a remainder.

1, 2, 4, 5, 10, 20, 2551, 5102, 10204, 12755, 25510

Step-4: Factors of 51038

List of positive integer factors of 51038 that divides 51020 without a remainder.

1, 2, 13, 26, 151, 169, 302, 338, 1963, 3926, 25519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51020 and 51038. The biggest common factor number is the GCF number.
So the greatest common factor 51020 and 51038 is 2.

Also check out the Least Common Multiple of 51020 and 51038