What is the Greatest Common Factor of 14986 and 15002?

Greatest common factor (GCF) of 14986 and 15002 is 2.

GCF(14986,15002) = 2

We will now calculate the prime factors of 14986 and 15002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14986 and 15002.

How to find the GCF of 14986 and 15002?

We will first find the prime factorization of 14986 and 15002. After we will calculate the factors of 14986 and 15002 and find the biggest common factor number .

Step-1: Prime Factorization of 14986

Prime factors of 14986 are 2, 59, 127. Prime factorization of 14986 in exponential form is:

14986 = 2¹ × 59¹ × 127¹

Step-2: Prime Factorization of 15002

Prime factors of 15002 are 2, 13, 577. Prime factorization of 15002 in exponential form is:

15002 = 2¹ × 13¹ × 577¹

Step-3: Factors of 14986

List of positive integer factors of 14986 that divides 14986 without a remainder.

1, 2, 59, 118, 127, 254, 7493

Step-4: Factors of 15002

List of positive integer factors of 15002 that divides 14986 without a remainder.

1, 2, 13, 26, 577, 1154, 7501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14986 and 15002. The biggest common factor number is the GCF number.
So the greatest common factor 14986 and 15002 is 2.

Also check out the Least Common Multiple of 14986 and 15002