What is the Greatest Common Factor of 71657 and 71667?

Greatest common factor (GCF) of 71657 and 71667 is 1.

GCF(71657,71667) = 1

We will now calculate the prime factors of 71657 and 71667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71657 and 71667.

How to find the GCF of 71657 and 71667?

We will first find the prime factorization of 71657 and 71667. After we will calculate the factors of 71657 and 71667 and find the biggest common factor number .

Step-1: Prime Factorization of 71657

Prime factors of 71657 are 131, 547. Prime factorization of 71657 in exponential form is:

71657 = 131¹ × 547¹

Step-2: Prime Factorization of 71667

Prime factors of 71667 are 3, 7963. Prime factorization of 71667 in exponential form is:

71667 = 3² × 7963¹

Step-3: Factors of 71657

List of positive integer factors of 71657 that divides 71657 without a remainder.

1, 131, 547

Step-4: Factors of 71667

List of positive integer factors of 71667 that divides 71657 without a remainder.

1, 3, 9, 7963, 23889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71657 and 71667. The biggest common factor number is the GCF number.
So the greatest common factor 71657 and 71667 is 1.

Also check out the Least Common Multiple of 71657 and 71667