What is the Greatest Common Factor of 14626 and 14632?

Greatest common factor (GCF) of 14626 and 14632 is 2.

GCF(14626,14632) = 2

We will now calculate the prime factors of 14626 and 14632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14626 and 14632.

How to find the GCF of 14626 and 14632?

We will first find the prime factorization of 14626 and 14632. After we will calculate the factors of 14626 and 14632 and find the biggest common factor number .

Step-1: Prime Factorization of 14626

Prime factors of 14626 are 2, 71, 103. Prime factorization of 14626 in exponential form is:

14626 = 2¹ × 71¹ × 103¹

Step-2: Prime Factorization of 14632

Prime factors of 14632 are 2, 31, 59. Prime factorization of 14632 in exponential form is:

14632 = 2³ × 31¹ × 59¹

Step-3: Factors of 14626

List of positive integer factors of 14626 that divides 14626 without a remainder.

1, 2, 71, 103, 142, 206, 7313

Step-4: Factors of 14632

List of positive integer factors of 14632 that divides 14626 without a remainder.

1, 2, 4, 8, 31, 59, 62, 118, 124, 236, 248, 472, 1829, 3658, 7316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14626 and 14632. The biggest common factor number is the GCF number.
So the greatest common factor 14626 and 14632 is 2.

Also check out the Least Common Multiple of 14626 and 14632