What is the Greatest Common Factor of 90986 and 91003?

Greatest common factor (GCF) of 90986 and 91003 is 1.

GCF(90986,91003) = 1

We will now calculate the prime factors of 90986 and 91003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90986 and 91003.

How to find the GCF of 90986 and 91003?

We will first find the prime factorization of 90986 and 91003. After we will calculate the factors of 90986 and 91003 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 91003

Prime factors of 91003 are 11, 8273. Prime factorization of 91003 in exponential form is:

91003 = 11¹ × 8273¹

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 91003

List of positive integer factors of 91003 that divides 90986 without a remainder.

1, 11, 8273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90986 and 91003. The biggest common factor number is the GCF number.
So the greatest common factor 90986 and 91003 is 1.

Also check out the Least Common Multiple of 90986 and 91003