What is the Greatest Common Factor of 986 and 1003?

Greatest common factor (GCF) of 986 and 1003 is 17.

GCF(986,1003) = 17

We will now calculate the prime factors of 986 and 1003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 986 and 1003.

How to find the GCF of 986 and 1003?

We will first find the prime factorization of 986 and 1003. After we will calculate the factors of 986 and 1003 and find the biggest common factor number .

Step-1: Prime Factorization of 986

Prime factors of 986 are 2, 17, 29. Prime factorization of 986 in exponential form is:

986 = 2¹ × 17¹ × 29¹

Step-2: Prime Factorization of 1003

Prime factors of 1003 are 17, 59. Prime factorization of 1003 in exponential form is:

1003 = 17¹ × 59¹

Step-3: Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493

Step-4: Factors of 1003

List of positive integer factors of 1003 that divides 986 without a remainder.

1, 17, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 986 and 1003. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 1003 is 17.

Also check out the Least Common Multiple of 986 and 1003