What is the Greatest Common Factor of 44124 and 44142?

Greatest common factor (GCF) of 44124 and 44142 is 6.

GCF(44124,44142) = 6

We will now calculate the prime factors of 44124 and 44142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44124 and 44142.

How to find the GCF of 44124 and 44142?

We will first find the prime factorization of 44124 and 44142. After we will calculate the factors of 44124 and 44142 and find the biggest common factor number .

Step-1: Prime Factorization of 44124

Prime factors of 44124 are 2, 3, 3677. Prime factorization of 44124 in exponential form is:

44124 = 2² × 3¹ × 3677¹

Step-2: Prime Factorization of 44142

Prime factors of 44142 are 2, 3, 7, 1051. Prime factorization of 44142 in exponential form is:

44142 = 2¹ × 3¹ × 7¹ × 1051¹

Step-3: Factors of 44124

List of positive integer factors of 44124 that divides 44124 without a remainder.

1, 2, 3, 4, 6, 12, 3677, 7354, 11031, 14708, 22062

Step-4: Factors of 44142

List of positive integer factors of 44142 that divides 44124 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1051, 2102, 3153, 6306, 7357, 14714, 22071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44124 and 44142. The biggest common factor number is the GCF number.
So the greatest common factor 44124 and 44142 is 6.

Also check out the Least Common Multiple of 44124 and 44142