What is the Greatest Common Factor of 22357 and 22372?

Greatest common factor (GCF) of 22357 and 22372 is 1.

GCF(22357,22372) = 1

We will now calculate the prime factors of 22357 and 22372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22357 and 22372.

How to find the GCF of 22357 and 22372?

We will first find the prime factorization of 22357 and 22372. After we will calculate the factors of 22357 and 22372 and find the biggest common factor number .

Step-1: Prime Factorization of 22357

Prime factors of 22357 are 79, 283. Prime factorization of 22357 in exponential form is:

22357 = 79¹ × 283¹

Step-2: 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-3: Factors of 22357

List of positive integer factors of 22357 that divides 22357 without a remainder.

1, 79, 283

Step-4: Factors of 22372

List of positive integer factors of 22372 that divides 22357 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22357 and 22372. The biggest common factor number is the GCF number.
So the greatest common factor 22357 and 22372 is 1.

Also check out the Least Common Multiple of 22357 and 22372