What is the Greatest Common Factor of 22428 and 22442?

Greatest common factor (GCF) of 22428 and 22442 is 14.

GCF(22428,22442) = 14

We will now calculate the prime factors of 22428 and 22442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22428 and 22442.

How to find the GCF of 22428 and 22442?

We will first find the prime factorization of 22428 and 22442. After we will calculate the factors of 22428 and 22442 and find the biggest common factor number .

Step-1: Prime Factorization of 22428

Prime factors of 22428 are 2, 3, 7, 89. Prime factorization of 22428 in exponential form is:

22428 = 2² × 3² × 7¹ × 89¹

Step-2: Prime Factorization of 22442

Prime factors of 22442 are 2, 7, 229. Prime factorization of 22442 in exponential form is:

22442 = 2¹ × 7² × 229¹

Step-3: Factors of 22428

List of positive integer factors of 22428 that divides 22428 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 89, 126, 178, 252, 267, 356, 534, 623, 801, 1068, 1246, 1602, 1869, 2492, 3204, 3738, 5607, 7476, 11214

Step-4: Factors of 22442

List of positive integer factors of 22442 that divides 22428 without a remainder.

1, 2, 7, 14, 49, 98, 229, 458, 1603, 3206, 11221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22428 and 22442. The biggest common factor number is the GCF number.
So the greatest common factor 22428 and 22442 is 14.

Also check out the Least Common Multiple of 22428 and 22442