What is the Greatest Common Factor of 91970 and 91975?

Greatest common factor (GCF) of 91970 and 91975 is 5.

GCF(91970,91975) = 5

We will now calculate the prime factors of 91970 and 91975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91970 and 91975.

How to find the GCF of 91970 and 91975?

We will first find the prime factorization of 91970 and 91975. After we will calculate the factors of 91970 and 91975 and find the biggest common factor number .

Step-1: Prime Factorization of 91970

Prime factors of 91970 are 2, 5, 17, 541. Prime factorization of 91970 in exponential form is:

91970 = 2¹ × 5¹ × 17¹ × 541¹

Step-2: Prime Factorization of 91975

Prime factors of 91975 are 5, 13, 283. Prime factorization of 91975 in exponential form is:

91975 = 5² × 13¹ × 283¹

Step-3: Factors of 91970

List of positive integer factors of 91970 that divides 91970 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 541, 1082, 2705, 5410, 9197, 18394, 45985

Step-4: Factors of 91975

List of positive integer factors of 91975 that divides 91970 without a remainder.

1, 5, 13, 25, 65, 283, 325, 1415, 3679, 7075, 18395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91970 and 91975. The biggest common factor number is the GCF number.
So the greatest common factor 91970 and 91975 is 5.

Also check out the Least Common Multiple of 91970 and 91975