What is the Greatest Common Factor of 35315 and 35325?

Greatest common factor (GCF) of 35315 and 35325 is 5.

GCF(35315,35325) = 5

We will now calculate the prime factors of 35315 and 35325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35315 and 35325.

How to find the GCF of 35315 and 35325?

We will first find the prime factorization of 35315 and 35325. After we will calculate the factors of 35315 and 35325 and find the biggest common factor number .

Step-1: Prime Factorization of 35315

Prime factors of 35315 are 5, 7, 1009. Prime factorization of 35315 in exponential form is:

35315 = 5¹ × 7¹ × 1009¹

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 35315

List of positive integer factors of 35315 that divides 35315 without a remainder.

1, 5, 7, 35, 1009, 5045, 7063

Step-4: Factors of 35325

List of positive integer factors of 35325 that divides 35315 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 35315 and 35325. The biggest common factor number is the GCF number.
So the greatest common factor 35315 and 35325 is 5.

Also check out the Least Common Multiple of 35315 and 35325