What is the Greatest Common Factor of 70366 and 70370?

Greatest common factor (GCF) of 70366 and 70370 is 2.

GCF(70366,70370) = 2

We will now calculate the prime factors of 70366 and 70370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70366 and 70370.

How to find the GCF of 70366 and 70370?

We will first find the prime factorization of 70366 and 70370. After we will calculate the factors of 70366 and 70370 and find the biggest common factor number .

Step-1: Prime Factorization of 70366

Prime factors of 70366 are 2, 151, 233. Prime factorization of 70366 in exponential form is:

70366 = 2¹ × 151¹ × 233¹

Step-2: Prime Factorization of 70370

Prime factors of 70370 are 2, 5, 31, 227. Prime factorization of 70370 in exponential form is:

70370 = 2¹ × 5¹ × 31¹ × 227¹

Step-3: Factors of 70366

List of positive integer factors of 70366 that divides 70366 without a remainder.

1, 2, 151, 233, 302, 466, 35183

Step-4: Factors of 70370

List of positive integer factors of 70370 that divides 70366 without a remainder.

1, 2, 5, 10, 31, 62, 155, 227, 310, 454, 1135, 2270, 7037, 14074, 35185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70366 and 70370. The biggest common factor number is the GCF number.
So the greatest common factor 70366 and 70370 is 2.

Also check out the Least Common Multiple of 70366 and 70370