What is the Greatest Common Factor of 70359 and 70374?

Greatest common factor (GCF) of 70359 and 70374 is 3.

GCF(70359,70374) = 3

We will now calculate the prime factors of 70359 and 70374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70359 and 70374.

How to find the GCF of 70359 and 70374?

We will first find the prime factorization of 70359 and 70374. After we will calculate the factors of 70359 and 70374 and find the biggest common factor number .

Step-1: Prime Factorization of 70359

Prime factors of 70359 are 3, 47, 499. Prime factorization of 70359 in exponential form is:

70359 = 3¹ × 47¹ × 499¹

Step-2: Prime Factorization of 70374

Prime factors of 70374 are 2, 3, 37, 317. Prime factorization of 70374 in exponential form is:

70374 = 2¹ × 3¹ × 37¹ × 317¹

Step-3: Factors of 70359

List of positive integer factors of 70359 that divides 70359 without a remainder.

1, 3, 47, 141, 499, 1497, 23453

Step-4: Factors of 70374

List of positive integer factors of 70374 that divides 70359 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 317, 634, 951, 1902, 11729, 23458, 35187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70359 and 70374. The biggest common factor number is the GCF number.
So the greatest common factor 70359 and 70374 is 3.

Also check out the Least Common Multiple of 70359 and 70374