What is the Greatest Common Factor of 22712 and 22729?

Greatest common factor (GCF) of 22712 and 22729 is 17.

GCF(22712,22729) = 17

We will now calculate the prime factors of 22712 and 22729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22712 and 22729.

How to find the GCF of 22712 and 22729?

We will first find the prime factorization of 22712 and 22729. After we will calculate the factors of 22712 and 22729 and find the biggest common factor number .

Step-1: Prime Factorization of 22712

Prime factors of 22712 are 2, 17, 167. Prime factorization of 22712 in exponential form is:

22712 = 2³ × 17¹ × 167¹

Step-2: Prime Factorization of 22729

Prime factors of 22729 are 7, 17, 191. Prime factorization of 22729 in exponential form is:

22729 = 7¹ × 17¹ × 191¹

Step-3: Factors of 22712

List of positive integer factors of 22712 that divides 22712 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 167, 334, 668, 1336, 2839, 5678, 11356

Step-4: Factors of 22729

List of positive integer factors of 22729 that divides 22712 without a remainder.

1, 7, 17, 119, 191, 1337, 3247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22712 and 22729. The biggest common factor number is the GCF number.
So the greatest common factor 22712 and 22729 is 17.

Also check out the Least Common Multiple of 22712 and 22729