What is the Greatest Common Factor of 70390 and 70396?

Greatest common factor (GCF) of 70390 and 70396 is 2.

GCF(70390,70396) = 2

We will now calculate the prime factors of 70390 and 70396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70390 and 70396.

How to find the GCF of 70390 and 70396?

We will first find the prime factorization of 70390 and 70396. After we will calculate the factors of 70390 and 70396 and find the biggest common factor number .

Step-1: Prime Factorization of 70390

Prime factors of 70390 are 2, 5, 7039. Prime factorization of 70390 in exponential form is:

70390 = 2¹ × 5¹ × 7039¹

Step-2: Prime Factorization of 70396

Prime factors of 70396 are 2, 17599. Prime factorization of 70396 in exponential form is:

70396 = 2² × 17599¹

Step-3: Factors of 70390

List of positive integer factors of 70390 that divides 70390 without a remainder.

1, 2, 5, 10, 7039, 14078, 35195

Step-4: Factors of 70396

List of positive integer factors of 70396 that divides 70390 without a remainder.

1, 2, 4, 17599, 35198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70390 and 70396. The biggest common factor number is the GCF number.
So the greatest common factor 70390 and 70396 is 2.

Also check out the Least Common Multiple of 70390 and 70396