What is the Greatest Common Factor of 22042 and 22050?

Greatest common factor (GCF) of 22042 and 22050 is 2.

GCF(22042,22050) = 2

We will now calculate the prime factors of 22042 and 22050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22042 and 22050.

How to find the GCF of 22042 and 22050?

We will first find the prime factorization of 22042 and 22050. After we will calculate the factors of 22042 and 22050 and find the biggest common factor number .

Step-1: Prime Factorization of 22042

Prime factors of 22042 are 2, 103, 107. Prime factorization of 22042 in exponential form is:

22042 = 2¹ × 103¹ × 107¹

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 22042

List of positive integer factors of 22042 that divides 22042 without a remainder.

1, 2, 103, 107, 206, 214, 11021

Step-4: Factors of 22050

List of positive integer factors of 22050 that divides 22042 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 22042 and 22050. The biggest common factor number is the GCF number.
So the greatest common factor 22042 and 22050 is 2.

Also check out the Least Common Multiple of 22042 and 22050