What is the Greatest Common Factor of 90961 and 90974?

Greatest common factor (GCF) of 90961 and 90974 is 13.

GCF(90961,90974) = 13

We will now calculate the prime factors of 90961 and 90974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90961 and 90974.

How to find the GCF of 90961 and 90974?

We will first find the prime factorization of 90961 and 90974. After we will calculate the factors of 90961 and 90974 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 90974

Prime factors of 90974 are 2, 13, 3499. Prime factorization of 90974 in exponential form is:

90974 = 2¹ × 13¹ × 3499¹

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 90974

List of positive integer factors of 90974 that divides 90961 without a remainder.

1, 2, 13, 26, 3499, 6998, 45487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90961 and 90974. The biggest common factor number is the GCF number.
So the greatest common factor 90961 and 90974 is 13.

Also check out the Least Common Multiple of 90961 and 90974