What is the Greatest Common Factor of 22540 and 22547?

Greatest common factor (GCF) of 22540 and 22547 is 7.

GCF(22540,22547) = 7

We will now calculate the prime factors of 22540 and 22547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22540 and 22547.

How to find the GCF of 22540 and 22547?

We will first find the prime factorization of 22540 and 22547. After we will calculate the factors of 22540 and 22547 and find the biggest common factor number .

Step-1: Prime Factorization of 22540

Prime factors of 22540 are 2, 5, 7, 23. Prime factorization of 22540 in exponential form is:

22540 = 2² × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 22547

Prime factors of 22547 are 7, 3221. Prime factorization of 22547 in exponential form is:

22547 = 7¹ × 3221¹

Step-3: Factors of 22540

List of positive integer factors of 22540 that divides 22540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 49, 70, 92, 98, 115, 140, 161, 196, 230, 245, 322, 460, 490, 644, 805, 980, 1127, 1610, 2254, 3220, 4508, 5635, 11270

Step-4: Factors of 22547

List of positive integer factors of 22547 that divides 22540 without a remainder.

1, 7, 3221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22540 and 22547. The biggest common factor number is the GCF number.
So the greatest common factor 22540 and 22547 is 7.

Also check out the Least Common Multiple of 22540 and 22547