What is the Greatest Common Factor of 70344 and 70353?

Greatest common factor (GCF) of 70344 and 70353 is 9.

GCF(70344,70353) = 9

We will now calculate the prime factors of 70344 and 70353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70344 and 70353.

How to find the GCF of 70344 and 70353?

We will first find the prime factorization of 70344 and 70353. After we will calculate the factors of 70344 and 70353 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 70353

Prime factors of 70353 are 3, 7817. Prime factorization of 70353 in exponential form is:

70353 = 3² × 7817¹

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 70353

List of positive integer factors of 70353 that divides 70344 without a remainder.

1, 3, 9, 7817, 23451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70344 and 70353. The biggest common factor number is the GCF number.
So the greatest common factor 70344 and 70353 is 9.

Also check out the Least Common Multiple of 70344 and 70353