What is the Greatest Common Factor of 45351 and 45357?

Greatest common factor (GCF) of 45351 and 45357 is 3.

GCF(45351,45357) = 3

We will now calculate the prime factors of 45351 and 45357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45351 and 45357.

How to find the GCF of 45351 and 45357?

We will first find the prime factorization of 45351 and 45357. After we will calculate the factors of 45351 and 45357 and find the biggest common factor number .

Step-1: Prime Factorization of 45351

Prime factors of 45351 are 3, 5039. Prime factorization of 45351 in exponential form is:

45351 = 3² × 5039¹

Step-2: Prime Factorization of 45357

Prime factors of 45357 are 3, 13, 1163. Prime factorization of 45357 in exponential form is:

45357 = 3¹ × 13¹ × 1163¹

Step-3: Factors of 45351

List of positive integer factors of 45351 that divides 45351 without a remainder.

1, 3, 9, 5039, 15117

Step-4: Factors of 45357

List of positive integer factors of 45357 that divides 45351 without a remainder.

1, 3, 13, 39, 1163, 3489, 15119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45351 and 45357. The biggest common factor number is the GCF number.
So the greatest common factor 45351 and 45357 is 3.

Also check out the Least Common Multiple of 45351 and 45357