What is the Greatest Common Factor of 70344 and 70359?

Greatest common factor (GCF) of 70344 and 70359 is 3.

GCF(70344,70359) = 3

We will now calculate the prime factors of 70344 and 70359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70344 and 70359.

How to find the GCF of 70344 and 70359?

We will first find the prime factorization of 70344 and 70359. After we will calculate the factors of 70344 and 70359 and find the biggest common factor number .

Step-1: Prime Factorization of 70344

Prime factors of 70344 are 2, 3, 977. Prime factorization of 70344 in exponential form is:

70344 = 2³ × 3² × 977¹

Step-2: 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-3: Factors of 70344

List of positive integer factors of 70344 that divides 70344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 977, 1954, 2931, 3908, 5862, 7816, 8793, 11724, 17586, 23448, 35172

Step-4: Factors of 70359

List of positive integer factors of 70359 that divides 70344 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70344 and 70359. The biggest common factor number is the GCF number.
So the greatest common factor 70344 and 70359 is 3.

Also check out the Least Common Multiple of 70344 and 70359