What is the Greatest Common Factor of 70075 and 70091?

Greatest common factor (GCF) of 70075 and 70091 is 1.

GCF(70075,70091) = 1

We will now calculate the prime factors of 70075 and 70091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70075 and 70091.

How to find the GCF of 70075 and 70091?

We will first find the prime factorization of 70075 and 70091. After we will calculate the factors of 70075 and 70091 and find the biggest common factor number .

Step-1: Prime Factorization of 70075

Prime factors of 70075 are 5, 2803. Prime factorization of 70075 in exponential form is:

70075 = 5² × 2803¹

Step-2: Prime Factorization of 70091

Prime factors of 70091 are 7, 17, 19, 31. Prime factorization of 70091 in exponential form is:

70091 = 7¹ × 17¹ × 19¹ × 31¹

Step-3: Factors of 70075

List of positive integer factors of 70075 that divides 70075 without a remainder.

1, 5, 25, 2803, 14015

Step-4: Factors of 70091

List of positive integer factors of 70091 that divides 70075 without a remainder.

1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70075 and 70091. The biggest common factor number is the GCF number.
So the greatest common factor 70075 and 70091 is 1.

Also check out the Least Common Multiple of 70075 and 70091