What is the Greatest Common Factor of 22355 and 22372?

Greatest common factor (GCF) of 22355 and 22372 is 17.

GCF(22355,22372) = 17

We will now calculate the prime factors of 22355 and 22372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22355 and 22372.

How to find the GCF of 22355 and 22372?

We will first find the prime factorization of 22355 and 22372. After we will calculate the factors of 22355 and 22372 and find the biggest common factor number .

Step-1: Prime Factorization of 22355

Prime factors of 22355 are 5, 17, 263. Prime factorization of 22355 in exponential form is:

22355 = 5¹ × 17¹ × 263¹

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 22355

List of positive integer factors of 22355 that divides 22355 without a remainder.

1, 5, 17, 85, 263, 1315, 4471

Step-4: Factors of 22372

List of positive integer factors of 22372 that divides 22355 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 22355 and 22372. The biggest common factor number is the GCF number.
So the greatest common factor 22355 and 22372 is 17.

Also check out the Least Common Multiple of 22355 and 22372