What is the Greatest Common Factor of 71549 and 71567?

Greatest common factor (GCF) of 71549 and 71567 is 1.

GCF(71549,71567) = 1

We will now calculate the prime factors of 71549 and 71567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71549 and 71567.

How to find the GCF of 71549 and 71567?

We will first find the prime factorization of 71549 and 71567. After we will calculate the factors of 71549 and 71567 and find the biggest common factor number .

Step-1: Prime Factorization of 71549

Prime factors of 71549 are 71549. Prime factorization of 71549 in exponential form is:

71549 = 71549¹

Step-2: Prime Factorization of 71567

Prime factors of 71567 are 59, 1213. Prime factorization of 71567 in exponential form is:

71567 = 59¹ × 1213¹

Step-3: Factors of 71549

List of positive integer factors of 71549 that divides 71549 without a remainder.

Step-4: Factors of 71567

List of positive integer factors of 71567 that divides 71549 without a remainder.

1, 59, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71549 and 71567. The biggest common factor number is the GCF number.
So the greatest common factor 71549 and 71567 is 1.

Also check out the Least Common Multiple of 71549 and 71567