What is the Greatest Common Factor of 44402 and 44412?

Greatest common factor (GCF) of 44402 and 44412 is 2.

GCF(44402,44412) = 2

We will now calculate the prime factors of 44402 and 44412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44402 and 44412.

How to find the GCF of 44402 and 44412?

We will first find the prime factorization of 44402 and 44412. After we will calculate the factors of 44402 and 44412 and find the biggest common factor number .

Step-1: Prime Factorization of 44402

Prime factors of 44402 are 2, 149. Prime factorization of 44402 in exponential form is:

44402 = 2¹ × 149²

Step-2: Prime Factorization of 44412

Prime factors of 44412 are 2, 3, 3701. Prime factorization of 44412 in exponential form is:

44412 = 2² × 3¹ × 3701¹

Step-3: Factors of 44402

List of positive integer factors of 44402 that divides 44402 without a remainder.

1, 2, 149, 298, 22201

Step-4: Factors of 44412

List of positive integer factors of 44412 that divides 44402 without a remainder.

1, 2, 3, 4, 6, 12, 3701, 7402, 11103, 14804, 22206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44402 and 44412. The biggest common factor number is the GCF number.
So the greatest common factor 44402 and 44412 is 2.

Also check out the Least Common Multiple of 44402 and 44412