What is the Greatest Common Factor of 69125 and 69137?

Greatest common factor (GCF) of 69125 and 69137 is 1.

GCF(69125,69137) = 1

We will now calculate the prime factors of 69125 and 69137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69125 and 69137.

How to find the GCF of 69125 and 69137?

We will first find the prime factorization of 69125 and 69137. After we will calculate the factors of 69125 and 69137 and find the biggest common factor number .

Step-1: Prime Factorization of 69125

Prime factors of 69125 are 5, 7, 79. Prime factorization of 69125 in exponential form is:

69125 = 5³ × 7¹ × 79¹

Step-2: Prime Factorization of 69137

Prime factors of 69137 are 47, 1471. Prime factorization of 69137 in exponential form is:

69137 = 47¹ × 1471¹

Step-3: Factors of 69125

List of positive integer factors of 69125 that divides 69125 without a remainder.

1, 5, 7, 25, 35, 79, 125, 175, 395, 553, 875, 1975, 2765, 9875, 13825

Step-4: Factors of 69137

List of positive integer factors of 69137 that divides 69125 without a remainder.

1, 47, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69125 and 69137. The biggest common factor number is the GCF number.
So the greatest common factor 69125 and 69137 is 1.

Also check out the Least Common Multiple of 69125 and 69137