What is the Greatest Common Factor of 73157 and 73171?

Greatest common factor (GCF) of 73157 and 73171 is 7.

GCF(73157,73171) = 7

We will now calculate the prime factors of 73157 and 73171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73157 and 73171.

How to find the GCF of 73157 and 73171?

We will first find the prime factorization of 73157 and 73171. After we will calculate the factors of 73157 and 73171 and find the biggest common factor number .

Step-1: Prime Factorization of 73157

Prime factors of 73157 are 7, 1493. Prime factorization of 73157 in exponential form is:

73157 = 7² × 1493¹

Step-2: Prime Factorization of 73171

Prime factors of 73171 are 7, 10453. Prime factorization of 73171 in exponential form is:

73171 = 7¹ × 10453¹

Step-3: Factors of 73157

List of positive integer factors of 73157 that divides 73157 without a remainder.

1, 7, 49, 1493, 10451

Step-4: Factors of 73171

List of positive integer factors of 73171 that divides 73157 without a remainder.

1, 7, 10453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73157 and 73171. The biggest common factor number is the GCF number.
So the greatest common factor 73157 and 73171 is 7.

Also check out the Least Common Multiple of 73157 and 73171