What is the Greatest Common Factor of 84157 and 84164?

Greatest common factor (GCF) of 84157 and 84164 is 1.

GCF(84157,84164) = 1

We will now calculate the prime factors of 84157 and 84164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84157 and 84164.

How to find the GCF of 84157 and 84164?

We will first find the prime factorization of 84157 and 84164. After we will calculate the factors of 84157 and 84164 and find the biggest common factor number .

Step-1: Prime Factorization of 84157

Prime factors of 84157 are 23, 3659. Prime factorization of 84157 in exponential form is:

84157 = 23¹ × 3659¹

Step-2: Prime Factorization of 84164

Prime factors of 84164 are 2, 53, 397. Prime factorization of 84164 in exponential form is:

84164 = 2² × 53¹ × 397¹

Step-3: Factors of 84157

List of positive integer factors of 84157 that divides 84157 without a remainder.

1, 23, 3659

Step-4: Factors of 84164

List of positive integer factors of 84164 that divides 84157 without a remainder.

1, 2, 4, 53, 106, 212, 397, 794, 1588, 21041, 42082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84157 and 84164. The biggest common factor number is the GCF number.
So the greatest common factor 84157 and 84164 is 1.

Also check out the Least Common Multiple of 84157 and 84164