What is the Greatest Common Factor of 22495 and 22506?

Greatest common factor (GCF) of 22495 and 22506 is 11.

GCF(22495,22506) = 11

We will now calculate the prime factors of 22495 and 22506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22495 and 22506.

How to find the GCF of 22495 and 22506?

We will first find the prime factorization of 22495 and 22506. After we will calculate the factors of 22495 and 22506 and find the biggest common factor number .

Step-1: Prime Factorization of 22495

Prime factors of 22495 are 5, 11, 409. Prime factorization of 22495 in exponential form is:

22495 = 5¹ × 11¹ × 409¹

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 22495

List of positive integer factors of 22495 that divides 22495 without a remainder.

1, 5, 11, 55, 409, 2045, 4499

Step-4: Factors of 22506

List of positive integer factors of 22506 that divides 22495 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 22495 and 22506. The biggest common factor number is the GCF number.
So the greatest common factor 22495 and 22506 is 11.

Also check out the Least Common Multiple of 22495 and 22506