What is the Greatest Common Factor of 70085 and 70097?

Greatest common factor (GCF) of 70085 and 70097 is 1.

GCF(70085,70097) = 1

We will now calculate the prime factors of 70085 and 70097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70085 and 70097.

How to find the GCF of 70085 and 70097?

We will first find the prime factorization of 70085 and 70097. After we will calculate the factors of 70085 and 70097 and find the biggest common factor number .

Step-1: Prime Factorization of 70085

Prime factors of 70085 are 5, 107, 131. Prime factorization of 70085 in exponential form is:

70085 = 5¹ × 107¹ × 131¹

Step-2: Prime Factorization of 70097

Prime factors of 70097 are 191, 367. Prime factorization of 70097 in exponential form is:

70097 = 191¹ × 367¹

Step-3: Factors of 70085

List of positive integer factors of 70085 that divides 70085 without a remainder.

1, 5, 107, 131, 535, 655, 14017

Step-4: Factors of 70097

List of positive integer factors of 70097 that divides 70085 without a remainder.

1, 191, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70085 and 70097. The biggest common factor number is the GCF number.
So the greatest common factor 70085 and 70097 is 1.

Also check out the Least Common Multiple of 70085 and 70097