What is the Greatest Common Factor of 44094 and 44102?

Greatest common factor (GCF) of 44094 and 44102 is 2.

GCF(44094,44102) = 2

We will now calculate the prime factors of 44094 and 44102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44094 and 44102.

How to find the GCF of 44094 and 44102?

We will first find the prime factorization of 44094 and 44102. After we will calculate the factors of 44094 and 44102 and find the biggest common factor number .

Step-1: Prime Factorization of 44094

Prime factors of 44094 are 2, 3, 7349. Prime factorization of 44094 in exponential form is:

44094 = 2¹ × 3¹ × 7349¹

Step-2: Prime Factorization of 44102

Prime factors of 44102 are 2, 22051. Prime factorization of 44102 in exponential form is:

44102 = 2¹ × 22051¹

Step-3: Factors of 44094

List of positive integer factors of 44094 that divides 44094 without a remainder.

1, 2, 3, 6, 7349, 14698, 22047

Step-4: Factors of 44102

List of positive integer factors of 44102 that divides 44094 without a remainder.

1, 2, 22051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44094 and 44102. The biggest common factor number is the GCF number.
So the greatest common factor 44094 and 44102 is 2.

Also check out the Least Common Multiple of 44094 and 44102