What is the Greatest Common Factor of 45417 and 45426?

Greatest common factor (GCF) of 45417 and 45426 is 3.

GCF(45417,45426) = 3

We will now calculate the prime factors of 45417 and 45426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45417 and 45426.

How to find the GCF of 45417 and 45426?

We will first find the prime factorization of 45417 and 45426. After we will calculate the factors of 45417 and 45426 and find the biggest common factor number .

Step-1: Prime Factorization of 45417

Prime factors of 45417 are 3, 15139. Prime factorization of 45417 in exponential form is:

45417 = 3¹ × 15139¹

Step-2: 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-3: Factors of 45417

List of positive integer factors of 45417 that divides 45417 without a remainder.

1, 3, 15139

Step-4: Factors of 45426

List of positive integer factors of 45426 that divides 45417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45417 and 45426. The biggest common factor number is the GCF number.
So the greatest common factor 45417 and 45426 is 3.

Also check out the Least Common Multiple of 45417 and 45426