What is the Greatest Common Factor of 22729 and 22746?

Greatest common factor (GCF) of 22729 and 22746 is 17.

GCF(22729,22746) = 17

We will now calculate the prime factors of 22729 and 22746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22729 and 22746.

How to find the GCF of 22729 and 22746?

We will first find the prime factorization of 22729 and 22746. After we will calculate the factors of 22729 and 22746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22746

Prime factors of 22746 are 2, 3, 17, 223. Prime factorization of 22746 in exponential form is:

22746 = 2¹ × 3¹ × 17¹ × 223¹

Step-3: Factors of 22729

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

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

Step-4: Factors of 22746

List of positive integer factors of 22746 that divides 22729 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 223, 446, 669, 1338, 3791, 7582, 11373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22729 and 22746. The biggest common factor number is the GCF number.
So the greatest common factor 22729 and 22746 is 17.

Also check out the Least Common Multiple of 22729 and 22746