What is the Greatest Common Factor of 22372 and 22381?

Greatest common factor (GCF) of 22372 and 22381 is 1.

GCF(22372,22381) = 1

We will now calculate the prime factors of 22372 and 22381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22372 and 22381.

How to find the GCF of 22372 and 22381?

We will first find the prime factorization of 22372 and 22381. After we will calculate the factors of 22372 and 22381 and find the biggest common factor number .

Step-1: Prime Factorization of 22372

Prime factors of 22372 are 2, 7, 17, 47. Prime factorization of 22372 in exponential form is:

22372 = 2² × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 22381

Prime factors of 22381 are 22381. Prime factorization of 22381 in exponential form is:

22381 = 22381¹

Step-3: Factors of 22372

List of positive integer factors of 22372 that divides 22372 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 47, 68, 94, 119, 188, 238, 329, 476, 658, 799, 1316, 1598, 3196, 5593, 11186

Step-4: Factors of 22381

List of positive integer factors of 22381 that divides 22372 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22372 and 22381. The biggest common factor number is the GCF number.
So the greatest common factor 22372 and 22381 is 1.

Also check out the Least Common Multiple of 22372 and 22381