What is the Greatest Common Factor of 14235 and 14248?

Greatest common factor (GCF) of 14235 and 14248 is 13.

GCF(14235,14248) = 13

We will now calculate the prime factors of 14235 and 14248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14235 and 14248.

How to find the GCF of 14235 and 14248?

We will first find the prime factorization of 14235 and 14248. After we will calculate the factors of 14235 and 14248 and find the biggest common factor number .

Step-1: Prime Factorization of 14235

Prime factors of 14235 are 3, 5, 13, 73. Prime factorization of 14235 in exponential form is:

14235 = 3¹ × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 14248

Prime factors of 14248 are 2, 13, 137. Prime factorization of 14248 in exponential form is:

14248 = 2³ × 13¹ × 137¹

Step-3: Factors of 14235

List of positive integer factors of 14235 that divides 14235 without a remainder.

1, 3, 5, 13, 15, 39, 65, 73, 195, 219, 365, 949, 1095, 2847, 4745

Step-4: Factors of 14248

List of positive integer factors of 14248 that divides 14235 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 137, 274, 548, 1096, 1781, 3562, 7124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14235 and 14248. The biggest common factor number is the GCF number.
So the greatest common factor 14235 and 14248 is 13.

Also check out the Least Common Multiple of 14235 and 14248