What is the Greatest Common Factor of 66989 and 67002?

Greatest common factor (GCF) of 66989 and 67002 is 13.

GCF(66989,67002) = 13

We will now calculate the prime factors of 66989 and 67002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66989 and 67002.

How to find the GCF of 66989 and 67002?

We will first find the prime factorization of 66989 and 67002. After we will calculate the factors of 66989 and 67002 and find the biggest common factor number .

Step-1: Prime Factorization of 66989

Prime factors of 66989 are 13, 5153. Prime factorization of 66989 in exponential form is:

66989 = 13¹ × 5153¹

Step-2: Prime Factorization of 67002

Prime factors of 67002 are 2, 3, 13, 859. Prime factorization of 67002 in exponential form is:

67002 = 2¹ × 3¹ × 13¹ × 859¹

Step-3: Factors of 66989

List of positive integer factors of 66989 that divides 66989 without a remainder.

1, 13, 5153

Step-4: Factors of 67002

List of positive integer factors of 67002 that divides 66989 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66989 and 67002. The biggest common factor number is the GCF number.
So the greatest common factor 66989 and 67002 is 13.

Also check out the Least Common Multiple of 66989 and 67002