What is the Greatest Common Factor of 70396 and 70410?

Greatest common factor (GCF) of 70396 and 70410 is 2.

GCF(70396,70410) = 2

We will now calculate the prime factors of 70396 and 70410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70396 and 70410.

How to find the GCF of 70396 and 70410?

We will first find the prime factorization of 70396 and 70410. After we will calculate the factors of 70396 and 70410 and find the biggest common factor number .

Step-1: Prime Factorization of 70396

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

70396 = 2² × 17599¹

Step-2: Prime Factorization of 70410

Prime factors of 70410 are 2, 3, 5, 2347. Prime factorization of 70410 in exponential form is:

70410 = 2¹ × 3¹ × 5¹ × 2347¹

Step-3: Factors of 70396

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

1, 2, 4, 17599, 35198

Step-4: Factors of 70410

List of positive integer factors of 70410 that divides 70396 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2347, 4694, 7041, 11735, 14082, 23470, 35205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70396 and 70410. The biggest common factor number is the GCF number.
So the greatest common factor 70396 and 70410 is 2.

Also check out the Least Common Multiple of 70396 and 70410