What is the Greatest Common Factor of 22638 and 22649?

Greatest common factor (GCF) of 22638 and 22649 is 11.

GCF(22638,22649) = 11

We will now calculate the prime factors of 22638 and 22649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22638 and 22649.

How to find the GCF of 22638 and 22649?

We will first find the prime factorization of 22638 and 22649. After we will calculate the factors of 22638 and 22649 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 22649

Prime factors of 22649 are 11, 29, 71. Prime factorization of 22649 in exponential form is:

22649 = 11¹ × 29¹ × 71¹

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 22649

List of positive integer factors of 22649 that divides 22638 without a remainder.

1, 11, 29, 71, 319, 781, 2059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22638 and 22649. The biggest common factor number is the GCF number.
So the greatest common factor 22638 and 22649 is 11.

Also check out the Least Common Multiple of 22638 and 22649