What is the Greatest Common Factor of 90965 and 90971?

Greatest common factor (GCF) of 90965 and 90971 is 1.

GCF(90965,90971) = 1

We will now calculate the prime factors of 90965 and 90971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90965 and 90971.

How to find the GCF of 90965 and 90971?

We will first find the prime factorization of 90965 and 90971. After we will calculate the factors of 90965 and 90971 and find the biggest common factor number .

Step-1: Prime Factorization of 90965

Prime factors of 90965 are 5, 7, 23, 113. Prime factorization of 90965 in exponential form is:

90965 = 5¹ × 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 90971

Prime factors of 90971 are 90971. Prime factorization of 90971 in exponential form is:

90971 = 90971¹

Step-3: Factors of 90965

List of positive integer factors of 90965 that divides 90965 without a remainder.

1, 5, 7, 23, 35, 113, 115, 161, 565, 791, 805, 2599, 3955, 12995, 18193

Step-4: Factors of 90971

List of positive integer factors of 90971 that divides 90965 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90965 and 90971. The biggest common factor number is the GCF number.
So the greatest common factor 90965 and 90971 is 1.

Also check out the Least Common Multiple of 90965 and 90971