What is the Greatest Common Factor of 45339 and 45353?

Greatest common factor (GCF) of 45339 and 45353 is 7.

GCF(45339,45353) = 7

We will now calculate the prime factors of 45339 and 45353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45339 and 45353.

How to find the GCF of 45339 and 45353?

We will first find the prime factorization of 45339 and 45353. After we will calculate the factors of 45339 and 45353 and find the biggest common factor number .

Step-1: Prime Factorization of 45339

Prime factors of 45339 are 3, 7, 17, 127. Prime factorization of 45339 in exponential form is:

45339 = 3¹ × 7¹ × 17¹ × 127¹

Step-2: Prime Factorization of 45353

Prime factors of 45353 are 7, 11, 19, 31. Prime factorization of 45353 in exponential form is:

45353 = 7¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 45339

List of positive integer factors of 45339 that divides 45339 without a remainder.

1, 3, 7, 17, 21, 51, 119, 127, 357, 381, 889, 2159, 2667, 6477, 15113

Step-4: Factors of 45353

List of positive integer factors of 45353 that divides 45339 without a remainder.

1, 7, 11, 19, 31, 77, 133, 209, 217, 341, 589, 1463, 2387, 4123, 6479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45339 and 45353. The biggest common factor number is the GCF number.
So the greatest common factor 45339 and 45353 is 7.

Also check out the Least Common Multiple of 45339 and 45353