What is the Greatest Common Factor of 22052 and 22066?

Greatest common factor (GCF) of 22052 and 22066 is 2.

GCF(22052,22066) = 2

We will now calculate the prime factors of 22052 and 22066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22052 and 22066.

How to find the GCF of 22052 and 22066?

We will first find the prime factorization of 22052 and 22066. After we will calculate the factors of 22052 and 22066 and find the biggest common factor number .

Step-1: Prime Factorization of 22052

Prime factors of 22052 are 2, 37, 149. Prime factorization of 22052 in exponential form is:

22052 = 2² × 37¹ × 149¹

Step-2: Prime Factorization of 22066

Prime factors of 22066 are 2, 11, 17, 59. Prime factorization of 22066 in exponential form is:

22066 = 2¹ × 11¹ × 17¹ × 59¹

Step-3: Factors of 22052

List of positive integer factors of 22052 that divides 22052 without a remainder.

1, 2, 4, 37, 74, 148, 149, 298, 596, 5513, 11026

Step-4: Factors of 22066

List of positive integer factors of 22066 that divides 22052 without a remainder.

1, 2, 11, 17, 22, 34, 59, 118, 187, 374, 649, 1003, 1298, 2006, 11033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22052 and 22066. The biggest common factor number is the GCF number.
So the greatest common factor 22052 and 22066 is 2.

Also check out the Least Common Multiple of 22052 and 22066