What is the Greatest Common Factor of 22062 and 22072?

Greatest common factor (GCF) of 22062 and 22072 is 2.

GCF(22062,22072) = 2

We will now calculate the prime factors of 22062 and 22072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22062 and 22072.

How to find the GCF of 22062 and 22072?

We will first find the prime factorization of 22062 and 22072. After we will calculate the factors of 22062 and 22072 and find the biggest common factor number .

Step-1: Prime Factorization of 22062

Prime factors of 22062 are 2, 3, 3677. Prime factorization of 22062 in exponential form is:

22062 = 2¹ × 3¹ × 3677¹

Step-2: 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-3: Factors of 22062

List of positive integer factors of 22062 that divides 22062 without a remainder.

1, 2, 3, 6, 3677, 7354, 11031

Step-4: Factors of 22072

List of positive integer factors of 22072 that divides 22062 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22062 and 22072. The biggest common factor number is the GCF number.
So the greatest common factor 22062 and 22072 is 2.

Also check out the Least Common Multiple of 22062 and 22072