What is the Greatest Common Factor of 22060 and 22072?

Greatest common factor (GCF) of 22060 and 22072 is 4.

GCF(22060,22072) = 4

We will now calculate the prime factors of 22060 and 22072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22060 and 22072.

How to find the GCF of 22060 and 22072?

We will first find the prime factorization of 22060 and 22072. After we will calculate the factors of 22060 and 22072 and find the biggest common factor number .

Step-1: Prime Factorization of 22060

Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:

22060 = 2² × 5¹ × 1103¹

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 22060

List of positive integer factors of 22060 that divides 22060 without a remainder.

1, 2, 4, 5, 10, 20, 1103, 2206, 4412, 5515, 11030

Step-4: Factors of 22072

List of positive integer factors of 22072 that divides 22060 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 22060 and 22072. The biggest common factor number is the GCF number.
So the greatest common factor 22060 and 22072 is 4.

Also check out the Least Common Multiple of 22060 and 22072