What is the Greatest Common Factor of 22414 and 22428?

Greatest common factor (GCF) of 22414 and 22428 is 14.

GCF(22414,22428) = 14

We will now calculate the prime factors of 22414 and 22428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22414 and 22428.

How to find the GCF of 22414 and 22428?

We will first find the prime factorization of 22414 and 22428. After we will calculate the factors of 22414 and 22428 and find the biggest common factor number .

Step-1: Prime Factorization of 22414

Prime factors of 22414 are 2, 7, 1601. Prime factorization of 22414 in exponential form is:

22414 = 2¹ × 7¹ × 1601¹

Step-2: 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-3: Factors of 22414

List of positive integer factors of 22414 that divides 22414 without a remainder.

1, 2, 7, 14, 1601, 3202, 11207

Step-4: Factors of 22428

List of positive integer factors of 22428 that divides 22414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22414 and 22428. The biggest common factor number is the GCF number.
So the greatest common factor 22414 and 22428 is 14.

Also check out the Least Common Multiple of 22414 and 22428