What is the Greatest Common Factor of 70362 and 70366?

Greatest common factor (GCF) of 70362 and 70366 is 2.

GCF(70362,70366) = 2

We will now calculate the prime factors of 70362 and 70366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70362 and 70366.

How to find the GCF of 70362 and 70366?

We will first find the prime factorization of 70362 and 70366. After we will calculate the factors of 70362 and 70366 and find the biggest common factor number .

Step-1: Prime Factorization of 70362

Prime factors of 70362 are 2, 3, 1303. Prime factorization of 70362 in exponential form is:

70362 = 2¹ × 3³ × 1303¹

Step-2: 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-3: Factors of 70362

List of positive integer factors of 70362 that divides 70362 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1303, 2606, 3909, 7818, 11727, 23454, 35181

Step-4: Factors of 70366

List of positive integer factors of 70366 that divides 70362 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70362 and 70366. The biggest common factor number is the GCF number.
So the greatest common factor 70362 and 70366 is 2.

Also check out the Least Common Multiple of 70362 and 70366