What is the Greatest Common Factor of 22102 and 22107?

Greatest common factor (GCF) of 22102 and 22107 is 1.

GCF(22102,22107) = 1

We will now calculate the prime factors of 22102 and 22107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22102 and 22107.

How to find the GCF of 22102 and 22107?

We will first find the prime factorization of 22102 and 22107. After we will calculate the factors of 22102 and 22107 and find the biggest common factor number .

Step-1: Prime Factorization of 22102

Prime factors of 22102 are 2, 43, 257. Prime factorization of 22102 in exponential form is:

22102 = 2¹ × 43¹ × 257¹

Step-2: Prime Factorization of 22107

Prime factors of 22107 are 3, 7369. Prime factorization of 22107 in exponential form is:

22107 = 3¹ × 7369¹

Step-3: Factors of 22102

List of positive integer factors of 22102 that divides 22102 without a remainder.

1, 2, 43, 86, 257, 514, 11051

Step-4: Factors of 22107

List of positive integer factors of 22107 that divides 22102 without a remainder.

1, 3, 7369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22102 and 22107. The biggest common factor number is the GCF number.
So the greatest common factor 22102 and 22107 is 1.

Also check out the Least Common Multiple of 22102 and 22107