What is the Greatest Common Factor of 44072 and 44090?

Greatest common factor (GCF) of 44072 and 44090 is 2.

GCF(44072,44090) = 2

We will now calculate the prime factors of 44072 and 44090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44072 and 44090.

How to find the GCF of 44072 and 44090?

We will first find the prime factorization of 44072 and 44090. After we will calculate the factors of 44072 and 44090 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 44090

Prime factors of 44090 are 2, 5, 4409. Prime factorization of 44090 in exponential form is:

44090 = 2¹ × 5¹ × 4409¹

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 44090

List of positive integer factors of 44090 that divides 44072 without a remainder.

1, 2, 5, 10, 4409, 8818, 22045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44072 and 44090. The biggest common factor number is the GCF number.
So the greatest common factor 44072 and 44090 is 2.

Also check out the Least Common Multiple of 44072 and 44090