What is the Greatest Common Factor of 90965 and 90975?

Greatest common factor (GCF) of 90965 and 90975 is 5.

GCF(90965,90975) = 5

We will now calculate the prime factors of 90965 and 90975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90965 and 90975.

How to find the GCF of 90965 and 90975?

We will first find the prime factorization of 90965 and 90975. After we will calculate the factors of 90965 and 90975 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 90975

Prime factors of 90975 are 3, 5, 1213. Prime factorization of 90975 in exponential form is:

90975 = 3¹ × 5² × 1213¹

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 90975

List of positive integer factors of 90975 that divides 90965 without a remainder.

1, 3, 5, 15, 25, 75, 1213, 3639, 6065, 18195, 30325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90965 and 90975. The biggest common factor number is the GCF number.
So the greatest common factor 90965 and 90975 is 5.

Also check out the Least Common Multiple of 90965 and 90975