What is the Greatest Common Factor of 70335 and 70344?

Greatest common factor (GCF) of 70335 and 70344 is 9.

GCF(70335,70344) = 9

We will now calculate the prime factors of 70335 and 70344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70335 and 70344.

How to find the GCF of 70335 and 70344?

We will first find the prime factorization of 70335 and 70344. After we will calculate the factors of 70335 and 70344 and find the biggest common factor number .

Step-1: Prime Factorization of 70335

Prime factors of 70335 are 3, 5, 521. Prime factorization of 70335 in exponential form is:

70335 = 3³ × 5¹ × 521¹

Step-2: 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-3: Factors of 70335

List of positive integer factors of 70335 that divides 70335 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 521, 1563, 2605, 4689, 7815, 14067, 23445

Step-4: Factors of 70344

List of positive integer factors of 70344 that divides 70335 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70335 and 70344. The biggest common factor number is the GCF number.
So the greatest common factor 70335 and 70344 is 9.

Also check out the Least Common Multiple of 70335 and 70344