What is the Greatest Common Factor of 45626 and 45634?

Greatest common factor (GCF) of 45626 and 45634 is 2.

GCF(45626,45634) = 2

We will now calculate the prime factors of 45626 and 45634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45626 and 45634.

How to find the GCF of 45626 and 45634?

We will first find the prime factorization of 45626 and 45634. After we will calculate the factors of 45626 and 45634 and find the biggest common factor number .

Step-1: Prime Factorization of 45626

Prime factors of 45626 are 2, 7, 3259. Prime factorization of 45626 in exponential form is:

45626 = 2¹ × 7¹ × 3259¹

Step-2: Prime Factorization of 45634

Prime factors of 45634 are 2, 22817. Prime factorization of 45634 in exponential form is:

45634 = 2¹ × 22817¹

Step-3: Factors of 45626

List of positive integer factors of 45626 that divides 45626 without a remainder.

1, 2, 7, 14, 3259, 6518, 22813

Step-4: Factors of 45634

List of positive integer factors of 45634 that divides 45626 without a remainder.

1, 2, 22817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45626 and 45634. The biggest common factor number is the GCF number.
So the greatest common factor 45626 and 45634 is 2.

Also check out the Least Common Multiple of 45626 and 45634