What is the Greatest Common Factor of 8125 and 8141?

Greatest common factor (GCF) of 8125 and 8141 is 1.

GCF(8125,8141) = 1

We will now calculate the prime factors of 8125 and 8141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8125 and 8141.

How to find the GCF of 8125 and 8141?

We will first find the prime factorization of 8125 and 8141. After we will calculate the factors of 8125 and 8141 and find the biggest common factor number .

Step-1: Prime Factorization of 8125

Prime factors of 8125 are 5, 13. Prime factorization of 8125 in exponential form is:

8125 = 5⁴ × 13¹

Step-2: Prime Factorization of 8141

Prime factors of 8141 are 7, 1163. Prime factorization of 8141 in exponential form is:

8141 = 7¹ × 1163¹

Step-3: Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1, 5, 13, 25, 65, 125, 325, 625, 1625

Step-4: Factors of 8141

List of positive integer factors of 8141 that divides 8125 without a remainder.

1, 7, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8125 and 8141. The biggest common factor number is the GCF number.
So the greatest common factor 8125 and 8141 is 1.

Also check out the Least Common Multiple of 8125 and 8141