What is the Greatest Common Factor of 70312 and 70329?

Greatest common factor (GCF) of 70312 and 70329 is 17.

GCF(70312,70329) = 17

We will now calculate the prime factors of 70312 and 70329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70312 and 70329.

How to find the GCF of 70312 and 70329?

We will first find the prime factorization of 70312 and 70329. After we will calculate the factors of 70312 and 70329 and find the biggest common factor number .

Step-1: Prime Factorization of 70312

Prime factors of 70312 are 2, 11, 17, 47. Prime factorization of 70312 in exponential form is:

70312 = 2³ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 70329

Prime factors of 70329 are 3, 7, 17, 197. Prime factorization of 70329 in exponential form is:

70329 = 3¹ × 7¹ × 17¹ × 197¹

Step-3: Factors of 70312

List of positive integer factors of 70312 that divides 70312 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 47, 68, 88, 94, 136, 187, 188, 374, 376, 517, 748, 799, 1034, 1496, 1598, 2068, 3196, 4136, 6392, 8789, 17578, 35156

Step-4: Factors of 70329

List of positive integer factors of 70329 that divides 70312 without a remainder.

1, 3, 7, 17, 21, 51, 119, 197, 357, 591, 1379, 3349, 4137, 10047, 23443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70312 and 70329. The biggest common factor number is the GCF number.
So the greatest common factor 70312 and 70329 is 17.

Also check out the Least Common Multiple of 70312 and 70329