What is the Greatest Common Factor of 51038 and 51051?

Greatest common factor (GCF) of 51038 and 51051 is 13.

GCF(51038,51051) = 13

We will now calculate the prime factors of 51038 and 51051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51038 and 51051.

How to find the GCF of 51038 and 51051?

We will first find the prime factorization of 51038 and 51051. After we will calculate the factors of 51038 and 51051 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51051

Prime factors of 51051 are 3, 7, 11, 13, 17. Prime factorization of 51051 in exponential form is:

51051 = 3¹ × 7¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 51038

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

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

Step-4: Factors of 51051

List of positive integer factors of 51051 that divides 51038 without a remainder.

1, 3, 7, 11, 13, 17, 21, 33, 39, 51, 77, 91, 119, 143, 187, 221, 231, 273, 357, 429, 561, 663, 1001, 1309, 1547, 2431, 3003, 3927, 4641, 7293, 17017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51038 and 51051. The biggest common factor number is the GCF number.
So the greatest common factor 51038 and 51051 is 13.

Also check out the Least Common Multiple of 51038 and 51051