What is the Greatest Common Factor of 22540 and 22546?

Greatest common factor (GCF) of 22540 and 22546 is 2.

GCF(22540,22546) = 2

We will now calculate the prime factors of 22540 and 22546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22540 and 22546.

How to find the GCF of 22540 and 22546?

We will first find the prime factorization of 22540 and 22546. After we will calculate the factors of 22540 and 22546 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 22546

Prime factors of 22546 are 2, 11273. Prime factorization of 22546 in exponential form is:

22546 = 2¹ × 11273¹

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 22546

List of positive integer factors of 22546 that divides 22540 without a remainder.

1, 2, 11273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22540 and 22546. The biggest common factor number is the GCF number.
So the greatest common factor 22540 and 22546 is 2.

Also check out the Least Common Multiple of 22540 and 22546