What is the Greatest Common Factor of 69475 and 69482?

Greatest common factor (GCF) of 69475 and 69482 is 7.

GCF(69475,69482) = 7

We will now calculate the prime factors of 69475 and 69482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69475 and 69482.

How to find the GCF of 69475 and 69482?

We will first find the prime factorization of 69475 and 69482. After we will calculate the factors of 69475 and 69482 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 69482

Prime factors of 69482 are 2, 7, 709. Prime factorization of 69482 in exponential form is:

69482 = 2¹ × 7² × 709¹

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 69482

List of positive integer factors of 69482 that divides 69475 without a remainder.

1, 2, 7, 14, 49, 98, 709, 1418, 4963, 9926, 34741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69475 and 69482. The biggest common factor number is the GCF number.
So the greatest common factor 69475 and 69482 is 7.

Also check out the Least Common Multiple of 69475 and 69482