What is the Greatest Common Factor of 69475 and 69493?

Greatest common factor (GCF) of 69475 and 69493 is 1.

GCF(69475,69493) = 1

We will now calculate the prime factors of 69475 and 69493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69475 and 69493.

How to find the GCF of 69475 and 69493?

We will first find the prime factorization of 69475 and 69493. After we will calculate the factors of 69475 and 69493 and find the biggest common factor number .

Step-1: Prime Factorization of 69475

Prime factors of 69475 are 5, 7, 397. Prime factorization of 69475 in exponential form is:

69475 = 5² × 7¹ × 397¹

Step-2: Prime Factorization of 69493

Prime factors of 69493 are 69493. Prime factorization of 69493 in exponential form is:

69493 = 69493¹

Step-3: Factors of 69475

List of positive integer factors of 69475 that divides 69475 without a remainder.

1, 5, 7, 25, 35, 175, 397, 1985, 2779, 9925, 13895

Step-4: Factors of 69493

List of positive integer factors of 69493 that divides 69475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69475 and 69493. The biggest common factor number is the GCF number.
So the greatest common factor 69475 and 69493 is 1.

Also check out the Least Common Multiple of 69475 and 69493