What is the Greatest Common Factor of 45356 and 45373?

Greatest common factor (GCF) of 45356 and 45373 is 17.

GCF(45356,45373) = 17

We will now calculate the prime factors of 45356 and 45373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45356 and 45373.

How to find the GCF of 45356 and 45373?

We will first find the prime factorization of 45356 and 45373. After we will calculate the factors of 45356 and 45373 and find the biggest common factor number .

Step-1: Prime Factorization of 45356

Prime factors of 45356 are 2, 17, 23, 29. Prime factorization of 45356 in exponential form is:

45356 = 2² × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 45373

Prime factors of 45373 are 17, 157. Prime factorization of 45373 in exponential form is:

45373 = 17² × 157¹

Step-3: Factors of 45356

List of positive integer factors of 45356 that divides 45356 without a remainder.

1, 2, 4, 17, 23, 29, 34, 46, 58, 68, 92, 116, 391, 493, 667, 782, 986, 1334, 1564, 1972, 2668, 11339, 22678

Step-4: Factors of 45373

List of positive integer factors of 45373 that divides 45356 without a remainder.

1, 17, 157, 289, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45356 and 45373. The biggest common factor number is the GCF number.
So the greatest common factor 45356 and 45373 is 17.

Also check out the Least Common Multiple of 45356 and 45373