What is the Greatest Common Factor of 70299 and 70313?

Greatest common factor (GCF) of 70299 and 70313 is 1.

GCF(70299,70313) = 1

We will now calculate the prime factors of 70299 and 70313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70299 and 70313.

How to find the GCF of 70299 and 70313?

We will first find the prime factorization of 70299 and 70313. After we will calculate the factors of 70299 and 70313 and find the biggest common factor number .

Step-1: Prime Factorization of 70299

Prime factors of 70299 are 3, 73, 107. Prime factorization of 70299 in exponential form is:

70299 = 3² × 73¹ × 107¹

Step-2: Prime Factorization of 70313

Prime factors of 70313 are 70313. Prime factorization of 70313 in exponential form is:

70313 = 70313¹

Step-3: Factors of 70299

List of positive integer factors of 70299 that divides 70299 without a remainder.

1, 3, 9, 73, 107, 219, 321, 657, 963, 7811, 23433

Step-4: Factors of 70313

List of positive integer factors of 70313 that divides 70299 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70299 and 70313. The biggest common factor number is the GCF number.
So the greatest common factor 70299 and 70313 is 1.

Also check out the Least Common Multiple of 70299 and 70313