What is the Greatest Common Factor of 22072 and 22087?

Greatest common factor (GCF) of 22072 and 22087 is 1.

GCF(22072,22087) = 1

We will now calculate the prime factors of 22072 and 22087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22072 and 22087.

How to find the GCF of 22072 and 22087?

We will first find the prime factorization of 22072 and 22087. After we will calculate the factors of 22072 and 22087 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 22087

Prime factors of 22087 are 13, 1699. Prime factorization of 22087 in exponential form is:

22087 = 13¹ × 1699¹

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 22087

List of positive integer factors of 22087 that divides 22072 without a remainder.

1, 13, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22072 and 22087. The biggest common factor number is the GCF number.
So the greatest common factor 22072 and 22087 is 1.

Also check out the Least Common Multiple of 22072 and 22087