What is the Greatest Common Factor of 90961 and 90976?

Greatest common factor (GCF) of 90961 and 90976 is 1.

GCF(90961,90976) = 1

We will now calculate the prime factors of 90961 and 90976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90961 and 90976.

How to find the GCF of 90961 and 90976?

We will first find the prime factorization of 90961 and 90976. After we will calculate the factors of 90961 and 90976 and find the biggest common factor number .

Step-1: Prime Factorization of 90961

Prime factors of 90961 are 13, 6997. Prime factorization of 90961 in exponential form is:

90961 = 13¹ × 6997¹

Step-2: Prime Factorization of 90976

Prime factors of 90976 are 2, 2843. Prime factorization of 90976 in exponential form is:

90976 = 2⁵ × 2843¹

Step-3: Factors of 90961

List of positive integer factors of 90961 that divides 90961 without a remainder.

1, 13, 6997

Step-4: Factors of 90976

List of positive integer factors of 90976 that divides 90961 without a remainder.

1, 2, 4, 8, 16, 32, 2843, 5686, 11372, 22744, 45488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90961 and 90976. The biggest common factor number is the GCF number.
So the greatest common factor 90961 and 90976 is 1.

Also check out the Least Common Multiple of 90961 and 90976