What is the Greatest Common Factor of 35325 and 35331?

Greatest common factor (GCF) of 35325 and 35331 is 3.

GCF(35325,35331) = 3

We will now calculate the prime factors of 35325 and 35331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35325 and 35331.

How to find the GCF of 35325 and 35331?

We will first find the prime factorization of 35325 and 35331. After we will calculate the factors of 35325 and 35331 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35331

Prime factors of 35331 are 3, 11777. Prime factorization of 35331 in exponential form is:

35331 = 3¹ × 11777¹

Step-3: Factors of 35325

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

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

Step-4: Factors of 35331

List of positive integer factors of 35331 that divides 35325 without a remainder.

1, 3, 11777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35325 and 35331. The biggest common factor number is the GCF number.
So the greatest common factor 35325 and 35331 is 3.

Also check out the Least Common Multiple of 35325 and 35331