What is the Greatest Common Factor of 22148 and 22162?

Greatest common factor (GCF) of 22148 and 22162 is 14.

GCF(22148,22162) = 14

We will now calculate the prime factors of 22148 and 22162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22148 and 22162.

How to find the GCF of 22148 and 22162?

We will first find the prime factorization of 22148 and 22162. After we will calculate the factors of 22148 and 22162 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 22162

Prime factors of 22162 are 2, 7, 1583. Prime factorization of 22162 in exponential form is:

22162 = 2¹ × 7¹ × 1583¹

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 22162

List of positive integer factors of 22162 that divides 22148 without a remainder.

1, 2, 7, 14, 1583, 3166, 11081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22148 and 22162. The biggest common factor number is the GCF number.
So the greatest common factor 22148 and 22162 is 14.

Also check out the Least Common Multiple of 22148 and 22162