What is the Greatest Common Factor of 45332 and 45339?

Greatest common factor (GCF) of 45332 and 45339 is 7.

GCF(45332,45339) = 7

We will now calculate the prime factors of 45332 and 45339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45332 and 45339.

How to find the GCF of 45332 and 45339?

We will first find the prime factorization of 45332 and 45339. After we will calculate the factors of 45332 and 45339 and find the biggest common factor number .

Step-1: Prime Factorization of 45332

Prime factors of 45332 are 2, 7, 1619. Prime factorization of 45332 in exponential form is:

45332 = 2² × 7¹ × 1619¹

Step-2: 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-3: Factors of 45332

List of positive integer factors of 45332 that divides 45332 without a remainder.

1, 2, 4, 7, 14, 28, 1619, 3238, 6476, 11333, 22666

Step-4: Factors of 45339

List of positive integer factors of 45339 that divides 45332 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45332 and 45339. The biggest common factor number is the GCF number.
So the greatest common factor 45332 and 45339 is 7.

Also check out the Least Common Multiple of 45332 and 45339