What is the Greatest Common Factor of 44072 and 44086?

Greatest common factor (GCF) of 44072 and 44086 is 14.

GCF(44072,44086) = 14

We will now calculate the prime factors of 44072 and 44086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44072 and 44086.

How to find the GCF of 44072 and 44086?

We will first find the prime factorization of 44072 and 44086. After we will calculate the factors of 44072 and 44086 and find the biggest common factor number .

Step-1: Prime Factorization of 44072

Prime factors of 44072 are 2, 7, 787. Prime factorization of 44072 in exponential form is:

44072 = 2³ × 7¹ × 787¹

Step-2: Prime Factorization of 44086

Prime factors of 44086 are 2, 7, 47, 67. Prime factorization of 44086 in exponential form is:

44086 = 2¹ × 7¹ × 47¹ × 67¹

Step-3: Factors of 44072

List of positive integer factors of 44072 that divides 44072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 787, 1574, 3148, 5509, 6296, 11018, 22036

Step-4: Factors of 44086

List of positive integer factors of 44086 that divides 44072 without a remainder.

1, 2, 7, 14, 47, 67, 94, 134, 329, 469, 658, 938, 3149, 6298, 22043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44072 and 44086. The biggest common factor number is the GCF number.
So the greatest common factor 44072 and 44086 is 14.

Also check out the Least Common Multiple of 44072 and 44086