What is the Greatest Common Factor of 8125 and 8138?

Greatest common factor (GCF) of 8125 and 8138 is 13.

GCF(8125,8138) = 13

We will now calculate the prime factors of 8125 and 8138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8125 and 8138.

How to find the GCF of 8125 and 8138?

We will first find the prime factorization of 8125 and 8138. After we will calculate the factors of 8125 and 8138 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 8138

Prime factors of 8138 are 2, 13, 313. Prime factorization of 8138 in exponential form is:

8138 = 2¹ × 13¹ × 313¹

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 8138

List of positive integer factors of 8138 that divides 8125 without a remainder.

1, 2, 13, 26, 313, 626, 4069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8125 and 8138. The biggest common factor number is the GCF number.
So the greatest common factor 8125 and 8138 is 13.

Also check out the Least Common Multiple of 8125 and 8138