What is the Greatest Common Factor of 45426 and 45437?

Greatest common factor (GCF) of 45426 and 45437 is 1.

GCF(45426,45437) = 1

We will now calculate the prime factors of 45426 and 45437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45426 and 45437.

How to find the GCF of 45426 and 45437?

We will first find the prime factorization of 45426 and 45437. After we will calculate the factors of 45426 and 45437 and find the biggest common factor number .

Step-1: Prime Factorization of 45426

Prime factors of 45426 are 2, 3, 67, 113. Prime factorization of 45426 in exponential form is:

45426 = 2¹ × 3¹ × 67¹ × 113¹

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 45426

List of positive integer factors of 45426 that divides 45426 without a remainder.

1, 2, 3, 6, 67, 113, 134, 201, 226, 339, 402, 678, 7571, 15142, 22713

Step-4: Factors of 45437

List of positive integer factors of 45437 that divides 45426 without a remainder.

1, 7, 6491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45426 and 45437. The biggest common factor number is the GCF number.
So the greatest common factor 45426 and 45437 is 1.

Also check out the Least Common Multiple of 45426 and 45437