What is the Greatest Common Factor of 22638 and 22645?

Greatest common factor (GCF) of 22638 and 22645 is 7.

GCF(22638,22645) = 7

We will now calculate the prime factors of 22638 and 22645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22638 and 22645.

How to find the GCF of 22638 and 22645?

We will first find the prime factorization of 22638 and 22645. After we will calculate the factors of 22638 and 22645 and find the biggest common factor number .

Step-1: Prime Factorization of 22638

Prime factors of 22638 are 2, 3, 7, 11. Prime factorization of 22638 in exponential form is:

22638 = 2¹ × 3¹ × 7³ × 11¹

Step-2: Prime Factorization of 22645

Prime factors of 22645 are 5, 7, 647. Prime factorization of 22645 in exponential form is:

22645 = 5¹ × 7¹ × 647¹

Step-3: Factors of 22638

List of positive integer factors of 22638 that divides 22638 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 343, 462, 539, 686, 1029, 1078, 1617, 2058, 3234, 3773, 7546, 11319

Step-4: Factors of 22645

List of positive integer factors of 22645 that divides 22638 without a remainder.

1, 5, 7, 35, 647, 3235, 4529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22638 and 22645. The biggest common factor number is the GCF number.
So the greatest common factor 22638 and 22645 is 7.

Also check out the Least Common Multiple of 22638 and 22645