What is the Greatest Common Factor of 65989 and 66003?

Greatest common factor (GCF) of 65989 and 66003 is 7.

GCF(65989,66003) = 7

We will now calculate the prime factors of 65989 and 66003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65989 and 66003.

How to find the GCF of 65989 and 66003?

We will first find the prime factorization of 65989 and 66003. After we will calculate the factors of 65989 and 66003 and find the biggest common factor number .

Step-1: Prime Factorization of 65989

Prime factors of 65989 are 7, 11, 857. Prime factorization of 65989 in exponential form is:

65989 = 7¹ × 11¹ × 857¹

Step-2: Prime Factorization of 66003

Prime factors of 66003 are 3, 7, 449. Prime factorization of 66003 in exponential form is:

66003 = 3¹ × 7² × 449¹

Step-3: Factors of 65989

List of positive integer factors of 65989 that divides 65989 without a remainder.

1, 7, 11, 77, 857, 5999, 9427

Step-4: Factors of 66003

List of positive integer factors of 66003 that divides 65989 without a remainder.

1, 3, 7, 21, 49, 147, 449, 1347, 3143, 9429, 22001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65989 and 66003. The biggest common factor number is the GCF number.
So the greatest common factor 65989 and 66003 is 7.

Also check out the Least Common Multiple of 65989 and 66003