What is the Greatest Common Factor of 22040 and 22045?

Greatest common factor (GCF) of 22040 and 22045 is 5.

GCF(22040,22045) = 5

We will now calculate the prime factors of 22040 and 22045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22040 and 22045.

How to find the GCF of 22040 and 22045?

We will first find the prime factorization of 22040 and 22045. After we will calculate the factors of 22040 and 22045 and find the biggest common factor number .

Step-1: Prime Factorization of 22040

Prime factors of 22040 are 2, 5, 19, 29. Prime factorization of 22040 in exponential form is:

22040 = 2³ × 5¹ × 19¹ × 29¹

Step-2: Prime Factorization of 22045

Prime factors of 22045 are 5, 4409. Prime factorization of 22045 in exponential form is:

22045 = 5¹ × 4409¹

Step-3: Factors of 22040

List of positive integer factors of 22040 that divides 22040 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 29, 38, 40, 58, 76, 95, 116, 145, 152, 190, 232, 290, 380, 551, 580, 760, 1102, 1160, 2204, 2755, 4408, 5510, 11020

Step-4: Factors of 22045

List of positive integer factors of 22045 that divides 22040 without a remainder.

1, 5, 4409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22040 and 22045. The biggest common factor number is the GCF number.
So the greatest common factor 22040 and 22045 is 5.

Also check out the Least Common Multiple of 22040 and 22045