What is the Greatest Common Factor of 45424 and 45437?

Greatest common factor (GCF) of 45424 and 45437 is 1.

GCF(45424,45437) = 1

We will now calculate the prime factors of 45424 and 45437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45424 and 45437.

How to find the GCF of 45424 and 45437?

We will first find the prime factorization of 45424 and 45437. After we will calculate the factors of 45424 and 45437 and find the biggest common factor number .

Step-1: Prime Factorization of 45424

Prime factors of 45424 are 2, 17, 167. Prime factorization of 45424 in exponential form is:

45424 = 2⁴ × 17¹ × 167¹

Step-2: Prime Factorization of 45437

Prime factors of 45437 are 7, 6491. Prime factorization of 45437 in exponential form is:

45437 = 7¹ × 6491¹

Step-3: Factors of 45424

List of positive integer factors of 45424 that divides 45424 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 167, 272, 334, 668, 1336, 2672, 2839, 5678, 11356, 22712

Step-4: Factors of 45437

List of positive integer factors of 45437 that divides 45424 without a remainder.

1, 7, 6491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45424 and 45437. The biggest common factor number is the GCF number.
So the greatest common factor 45424 and 45437 is 1.

Also check out the Least Common Multiple of 45424 and 45437