What is the Greatest Common Factor of 90986 and 91006?

Greatest common factor (GCF) of 90986 and 91006 is 2.

GCF(90986,91006) = 2

We will now calculate the prime factors of 90986 and 91006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90986 and 91006.

How to find the GCF of 90986 and 91006?

We will first find the prime factorization of 90986 and 91006. After we will calculate the factors of 90986 and 91006 and find the biggest common factor number .

Step-1: Prime Factorization of 90986

Prime factors of 90986 are 2, 7, 67, 97. Prime factorization of 90986 in exponential form is:

90986 = 2¹ × 7¹ × 67¹ × 97¹

Step-2: Prime Factorization of 91006

Prime factors of 91006 are 2, 45503. Prime factorization of 91006 in exponential form is:

91006 = 2¹ × 45503¹

Step-3: Factors of 90986

List of positive integer factors of 90986 that divides 90986 without a remainder.

1, 2, 7, 14, 67, 97, 134, 194, 469, 679, 938, 1358, 6499, 12998, 45493

Step-4: Factors of 91006

List of positive integer factors of 91006 that divides 90986 without a remainder.

1, 2, 45503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90986 and 91006. The biggest common factor number is the GCF number.
So the greatest common factor 90986 and 91006 is 2.

Also check out the Least Common Multiple of 90986 and 91006