What is the Greatest Common Factor of 44622 and 44626?

Greatest common factor (GCF) of 44622 and 44626 is 2.

GCF(44622,44626) = 2

We will now calculate the prime factors of 44622 and 44626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44622 and 44626.

How to find the GCF of 44622 and 44626?

We will first find the prime factorization of 44622 and 44626. After we will calculate the factors of 44622 and 44626 and find the biggest common factor number .

Step-1: Prime Factorization of 44622

Prime factors of 44622 are 2, 3, 37, 67. Prime factorization of 44622 in exponential form is:

44622 = 2¹ × 3² × 37¹ × 67¹

Step-2: Prime Factorization of 44626

Prime factors of 44626 are 2, 53, 421. Prime factorization of 44626 in exponential form is:

44626 = 2¹ × 53¹ × 421¹

Step-3: Factors of 44622

List of positive integer factors of 44622 that divides 44622 without a remainder.

1, 2, 3, 6, 9, 18, 37, 67, 74, 111, 134, 201, 222, 333, 402, 603, 666, 1206, 2479, 4958, 7437, 14874, 22311

Step-4: Factors of 44626

List of positive integer factors of 44626 that divides 44622 without a remainder.

1, 2, 53, 106, 421, 842, 22313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44622 and 44626. The biggest common factor number is the GCF number.
So the greatest common factor 44622 and 44626 is 2.

Also check out the Least Common Multiple of 44622 and 44626