What is the Greatest Common Factor of 22148 and 22156?

Greatest common factor (GCF) of 22148 and 22156 is 4.

GCF(22148,22156) = 4

We will now calculate the prime factors of 22148 and 22156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22148 and 22156.

How to find the GCF of 22148 and 22156?

We will first find the prime factorization of 22148 and 22156. After we will calculate the factors of 22148 and 22156 and find the biggest common factor number .

Step-1: Prime Factorization of 22148

Prime factors of 22148 are 2, 7, 113. Prime factorization of 22148 in exponential form is:

22148 = 2² × 7² × 113¹

Step-2: Prime Factorization of 22156

Prime factors of 22156 are 2, 29, 191. Prime factorization of 22156 in exponential form is:

22156 = 2² × 29¹ × 191¹

Step-3: Factors of 22148

List of positive integer factors of 22148 that divides 22148 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 113, 196, 226, 452, 791, 1582, 3164, 5537, 11074

Step-4: Factors of 22156

List of positive integer factors of 22156 that divides 22148 without a remainder.

1, 2, 4, 29, 58, 116, 191, 382, 764, 5539, 11078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22148 and 22156. The biggest common factor number is the GCF number.
So the greatest common factor 22148 and 22156 is 4.

Also check out the Least Common Multiple of 22148 and 22156