What is the Greatest Common Factor of 22072 and 22076?

Greatest common factor (GCF) of 22072 and 22076 is 4.

GCF(22072,22076) = 4

We will now calculate the prime factors of 22072 and 22076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22072 and 22076.

How to find the GCF of 22072 and 22076?

We will first find the prime factorization of 22072 and 22076. After we will calculate the factors of 22072 and 22076 and find the biggest common factor number .

Step-1: Prime Factorization of 22072

Prime factors of 22072 are 2, 31, 89. Prime factorization of 22072 in exponential form is:

22072 = 2³ × 31¹ × 89¹

Step-2: Prime Factorization of 22076

Prime factors of 22076 are 2, 5519. Prime factorization of 22076 in exponential form is:

22076 = 2² × 5519¹

Step-3: Factors of 22072

List of positive integer factors of 22072 that divides 22072 without a remainder.

1, 2, 4, 8, 31, 62, 89, 124, 178, 248, 356, 712, 2759, 5518, 11036

Step-4: Factors of 22076

List of positive integer factors of 22076 that divides 22072 without a remainder.

1, 2, 4, 5519, 11038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22072 and 22076. The biggest common factor number is the GCF number.
So the greatest common factor 22072 and 22076 is 4.

Also check out the Least Common Multiple of 22072 and 22076