What is the Greatest Common Factor of 69125 and 69133?

Greatest common factor (GCF) of 69125 and 69133 is 1.

GCF(69125,69133) = 1

We will now calculate the prime factors of 69125 and 69133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69125 and 69133.

How to find the GCF of 69125 and 69133?

We will first find the prime factorization of 69125 and 69133. After we will calculate the factors of 69125 and 69133 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 69133

Prime factors of 69133 are 257, 269. Prime factorization of 69133 in exponential form is:

69133 = 257¹ × 269¹

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 69133

List of positive integer factors of 69133 that divides 69125 without a remainder.

1, 257, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69125 and 69133. The biggest common factor number is the GCF number.
So the greatest common factor 69125 and 69133 is 1.

Also check out the Least Common Multiple of 69125 and 69133