What is the Greatest Common Factor of 14224 and 14242?

Greatest common factor (GCF) of 14224 and 14242 is 2.

GCF(14224,14242) = 2

We will now calculate the prime factors of 14224 and 14242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14224 and 14242.

How to find the GCF of 14224 and 14242?

We will first find the prime factorization of 14224 and 14242. After we will calculate the factors of 14224 and 14242 and find the biggest common factor number .

Step-1: Prime Factorization of 14224

Prime factors of 14224 are 2, 7, 127. Prime factorization of 14224 in exponential form is:

14224 = 2⁴ × 7¹ × 127¹

Step-2: Prime Factorization of 14242

Prime factors of 14242 are 2, 7121. Prime factorization of 14242 in exponential form is:

14242 = 2¹ × 7121¹

Step-3: Factors of 14224

List of positive integer factors of 14224 that divides 14224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 127, 254, 508, 889, 1016, 1778, 2032, 3556, 7112

Step-4: Factors of 14242

List of positive integer factors of 14242 that divides 14224 without a remainder.

1, 2, 7121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14224 and 14242. The biggest common factor number is the GCF number.
So the greatest common factor 14224 and 14242 is 2.

Also check out the Least Common Multiple of 14224 and 14242