What is the Greatest Common Factor of 51051 and 51064?

Greatest common factor (GCF) of 51051 and 51064 is 13.

GCF(51051,51064) = 13

We will now calculate the prime factors of 51051 and 51064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51051 and 51064.

How to find the GCF of 51051 and 51064?

We will first find the prime factorization of 51051 and 51064. After we will calculate the factors of 51051 and 51064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51064

Prime factors of 51064 are 2, 13, 491. Prime factorization of 51064 in exponential form is:

51064 = 2³ × 13¹ × 491¹

Step-3: Factors of 51051

List of positive integer factors of 51051 that divides 51051 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

Step-4: Factors of 51064

List of positive integer factors of 51064 that divides 51051 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 491, 982, 1964, 3928, 6383, 12766, 25532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51051 and 51064. The biggest common factor number is the GCF number.
So the greatest common factor 51051 and 51064 is 13.

Also check out the Least Common Multiple of 51051 and 51064