What is the Greatest Common Factor of 22496 and 22506?

Greatest common factor (GCF) of 22496 and 22506 is 2.

GCF(22496,22506) = 2

We will now calculate the prime factors of 22496 and 22506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22496 and 22506.

How to find the GCF of 22496 and 22506?

We will first find the prime factorization of 22496 and 22506. After we will calculate the factors of 22496 and 22506 and find the biggest common factor number .

Step-1: Prime Factorization of 22496

Prime factors of 22496 are 2, 19, 37. Prime factorization of 22496 in exponential form is:

22496 = 2⁵ × 19¹ × 37¹

Step-2: Prime Factorization of 22506

Prime factors of 22506 are 2, 3, 11, 31. Prime factorization of 22506 in exponential form is:

22506 = 2¹ × 3¹ × 11² × 31¹

Step-3: Factors of 22496

List of positive integer factors of 22496 that divides 22496 without a remainder.

1, 2, 4, 8, 16, 19, 32, 37, 38, 74, 76, 148, 152, 296, 304, 592, 608, 703, 1184, 1406, 2812, 5624, 11248

Step-4: Factors of 22506

List of positive integer factors of 22506 that divides 22496 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 121, 186, 242, 341, 363, 682, 726, 1023, 2046, 3751, 7502, 11253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22496 and 22506. The biggest common factor number is the GCF number.
So the greatest common factor 22496 and 22506 is 2.

Also check out the Least Common Multiple of 22496 and 22506