What is the Greatest Common Factor of 22040 and 22050?

Greatest common factor (GCF) of 22040 and 22050 is 10.

GCF(22040,22050) = 10

We will now calculate the prime factors of 22040 and 22050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22040 and 22050.

How to find the GCF of 22040 and 22050?

We will first find the prime factorization of 22040 and 22050. After we will calculate the factors of 22040 and 22050 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 22050

Prime factors of 22050 are 2, 3, 5, 7. Prime factorization of 22050 in exponential form is:

22050 = 2¹ × 3² × 5² × 7²

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 22050

List of positive integer factors of 22050 that divides 22040 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 49, 50, 63, 70, 75, 90, 98, 105, 126, 147, 150, 175, 210, 225, 245, 294, 315, 350, 441, 450, 490, 525, 630, 735, 882, 1050, 1225, 1470, 1575, 2205, 2450, 3150, 3675, 4410, 7350, 11025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22040 and 22050. The biggest common factor number is the GCF number.
So the greatest common factor 22040 and 22050 is 10.

Also check out the Least Common Multiple of 22040 and 22050