What is the Greatest Common Factor of 44142 and 44162?

Greatest common factor (GCF) of 44142 and 44162 is 2.

GCF(44142,44162) = 2

We will now calculate the prime factors of 44142 and 44162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44142 and 44162.

How to find the GCF of 44142 and 44162?

We will first find the prime factorization of 44142 and 44162. After we will calculate the factors of 44142 and 44162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44162

Prime factors of 44162 are 2, 71, 311. Prime factorization of 44162 in exponential form is:

44162 = 2¹ × 71¹ × 311¹

Step-3: Factors of 44142

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

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

Step-4: Factors of 44162

List of positive integer factors of 44162 that divides 44142 without a remainder.

1, 2, 71, 142, 311, 622, 22081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44142 and 44162. The biggest common factor number is the GCF number.
So the greatest common factor 44142 and 44162 is 2.

Also check out the Least Common Multiple of 44142 and 44162