What is the Greatest Common Factor of 35317 and 35325?

Greatest common factor (GCF) of 35317 and 35325 is 1.

GCF(35317,35325) = 1

We will now calculate the prime factors of 35317 and 35325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35317 and 35325.

How to find the GCF of 35317 and 35325?

We will first find the prime factorization of 35317 and 35325. After we will calculate the factors of 35317 and 35325 and find the biggest common factor number .

Step-1: Prime Factorization of 35317

Prime factors of 35317 are 35317. Prime factorization of 35317 in exponential form is:

35317 = 35317¹

Step-2: Prime Factorization of 35325

Prime factors of 35325 are 3, 5, 157. Prime factorization of 35325 in exponential form is:

35325 = 3² × 5² × 157¹

Step-3: Factors of 35317

List of positive integer factors of 35317 that divides 35317 without a remainder.

Step-4: Factors of 35325

List of positive integer factors of 35325 that divides 35317 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 157, 225, 471, 785, 1413, 2355, 3925, 7065, 11775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35317 and 35325. The biggest common factor number is the GCF number.
So the greatest common factor 35317 and 35325 is 1.

Also check out the Least Common Multiple of 35317 and 35325