What is the Greatest Common Factor of 69125 and 69141?

Greatest common factor (GCF) of 69125 and 69141 is 1.

GCF(69125,69141) = 1

We will now calculate the prime factors of 69125 and 69141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69125 and 69141.

How to find the GCF of 69125 and 69141?

We will first find the prime factorization of 69125 and 69141. After we will calculate the factors of 69125 and 69141 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 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 3¹ × 19¹ × 1213¹

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 69141

List of positive integer factors of 69141 that divides 69125 without a remainder.

1, 3, 19, 57, 1213, 3639, 23047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69125 and 69141. The biggest common factor number is the GCF number.
So the greatest common factor 69125 and 69141 is 1.

Also check out the Least Common Multiple of 69125 and 69141