What is the Greatest Common Factor of 51163 and 51177?

Greatest common factor (GCF) of 51163 and 51177 is 7.

GCF(51163,51177) = 7

We will now calculate the prime factors of 51163 and 51177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51163 and 51177.

How to find the GCF of 51163 and 51177?

We will first find the prime factorization of 51163 and 51177. After we will calculate the factors of 51163 and 51177 and find the biggest common factor number .

Step-1: Prime Factorization of 51163

Prime factors of 51163 are 7, 7309. Prime factorization of 51163 in exponential form is:

51163 = 7¹ × 7309¹

Step-2: Prime Factorization of 51177

Prime factors of 51177 are 3, 7, 2437. Prime factorization of 51177 in exponential form is:

51177 = 3¹ × 7¹ × 2437¹

Step-3: Factors of 51163

List of positive integer factors of 51163 that divides 51163 without a remainder.

1, 7, 7309

Step-4: Factors of 51177

List of positive integer factors of 51177 that divides 51163 without a remainder.

1, 3, 7, 21, 2437, 7311, 17059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51163 and 51177. The biggest common factor number is the GCF number.
So the greatest common factor 51163 and 51177 is 7.

Also check out the Least Common Multiple of 51163 and 51177