What is the Greatest Common Factor of 986 and 1005?

Greatest common factor (GCF) of 986 and 1005 is 1.

GCF(986,1005) = 1

We will now calculate the prime factors of 986 and 1005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 986 and 1005.

How to find the GCF of 986 and 1005?

We will first find the prime factorization of 986 and 1005. After we will calculate the factors of 986 and 1005 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 1005

Prime factors of 1005 are 3, 5, 67. Prime factorization of 1005 in exponential form is:

1005 = 3¹ × 5¹ × 67¹

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 1005

List of positive integer factors of 1005 that divides 986 without a remainder.

1, 3, 5, 15, 67, 201, 335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 986 and 1005. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 1005 is 1.

Also check out the Least Common Multiple of 986 and 1005