What is the Greatest Common Factor of 45437 and 45456?

Greatest common factor (GCF) of 45437 and 45456 is 1.

GCF(45437,45456) = 1

We will now calculate the prime factors of 45437 and 45456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45437 and 45456.

How to find the GCF of 45437 and 45456?

We will first find the prime factorization of 45437 and 45456. After we will calculate the factors of 45437 and 45456 and find the biggest common factor number .

Step-1: Prime Factorization of 45437

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

45437 = 7¹ × 6491¹

Step-2: Prime Factorization of 45456

Prime factors of 45456 are 2, 3, 947. Prime factorization of 45456 in exponential form is:

45456 = 2⁴ × 3¹ × 947¹

Step-3: Factors of 45437

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

1, 7, 6491

Step-4: Factors of 45456

List of positive integer factors of 45456 that divides 45437 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 947, 1894, 2841, 3788, 5682, 7576, 11364, 15152, 22728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45437 and 45456. The biggest common factor number is the GCF number.
So the greatest common factor 45437 and 45456 is 1.

Also check out the Least Common Multiple of 45437 and 45456