What is the Greatest Common Factor of 70302 and 70316?

Greatest common factor (GCF) of 70302 and 70316 is 2.

GCF(70302,70316) = 2

We will now calculate the prime factors of 70302 and 70316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70302 and 70316.

How to find the GCF of 70302 and 70316?

We will first find the prime factorization of 70302 and 70316. After we will calculate the factors of 70302 and 70316 and find the biggest common factor number .

Step-1: Prime Factorization of 70302

Prime factors of 70302 are 2, 3, 11717. Prime factorization of 70302 in exponential form is:

70302 = 2¹ × 3¹ × 11717¹

Step-2: Prime Factorization of 70316

Prime factors of 70316 are 2, 17579. Prime factorization of 70316 in exponential form is:

70316 = 2² × 17579¹

Step-3: Factors of 70302

List of positive integer factors of 70302 that divides 70302 without a remainder.

1, 2, 3, 6, 11717, 23434, 35151

Step-4: Factors of 70316

List of positive integer factors of 70316 that divides 70302 without a remainder.

1, 2, 4, 17579, 35158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70302 and 70316. The biggest common factor number is the GCF number.
So the greatest common factor 70302 and 70316 is 2.

Also check out the Least Common Multiple of 70302 and 70316