What is the Greatest Common Factor of 91070 and 91075?

Greatest common factor (GCF) of 91070 and 91075 is 5.

GCF(91070,91075) = 5

We will now calculate the prime factors of 91070 and 91075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91070 and 91075.

How to find the GCF of 91070 and 91075?

We will first find the prime factorization of 91070 and 91075. After we will calculate the factors of 91070 and 91075 and find the biggest common factor number .

Step-1: Prime Factorization of 91070

Prime factors of 91070 are 2, 5, 7, 1301. Prime factorization of 91070 in exponential form is:

91070 = 2¹ × 5¹ × 7¹ × 1301¹

Step-2: Prime Factorization of 91075

Prime factors of 91075 are 5, 3643. Prime factorization of 91075 in exponential form is:

91075 = 5² × 3643¹

Step-3: Factors of 91070

List of positive integer factors of 91070 that divides 91070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1301, 2602, 6505, 9107, 13010, 18214, 45535

Step-4: Factors of 91075

List of positive integer factors of 91075 that divides 91070 without a remainder.

1, 5, 25, 3643, 18215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91070 and 91075. The biggest common factor number is the GCF number.
So the greatest common factor 91070 and 91075 is 5.

Also check out the Least Common Multiple of 91070 and 91075