What is the Greatest Common Factor of 45357 and 45370?

Greatest common factor (GCF) of 45357 and 45370 is 13.

GCF(45357,45370) = 13

We will now calculate the prime factors of 45357 and 45370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45357 and 45370.

How to find the GCF of 45357 and 45370?

We will first find the prime factorization of 45357 and 45370. After we will calculate the factors of 45357 and 45370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45370

Prime factors of 45370 are 2, 5, 13, 349. Prime factorization of 45370 in exponential form is:

45370 = 2¹ × 5¹ × 13¹ × 349¹

Step-3: Factors of 45357

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

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

Step-4: Factors of 45370

List of positive integer factors of 45370 that divides 45357 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 349, 698, 1745, 3490, 4537, 9074, 22685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45357 and 45370. The biggest common factor number is the GCF number.
So the greatest common factor 45357 and 45370 is 13.

Also check out the Least Common Multiple of 45357 and 45370