What is the Greatest Common Factor of 22477 and 22496?

Greatest common factor (GCF) of 22477 and 22496 is 19.

GCF(22477,22496) = 19

We will now calculate the prime factors of 22477 and 22496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22477 and 22496.

How to find the GCF of 22477 and 22496?

We will first find the prime factorization of 22477 and 22496. After we will calculate the factors of 22477 and 22496 and find the biggest common factor number .

Step-1: Prime Factorization of 22477

Prime factors of 22477 are 7, 13, 19. Prime factorization of 22477 in exponential form is:

22477 = 7¹ × 13² × 19¹

Step-2: 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-3: Factors of 22477

List of positive integer factors of 22477 that divides 22477 without a remainder.

1, 7, 13, 19, 91, 133, 169, 247, 1183, 1729, 3211

Step-4: Factors of 22496

List of positive integer factors of 22496 that divides 22477 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22477 and 22496. The biggest common factor number is the GCF number.
So the greatest common factor 22477 and 22496 is 19.

Also check out the Least Common Multiple of 22477 and 22496