What is the Greatest Common Factor of 70344 and 70364?

Greatest common factor (GCF) of 70344 and 70364 is 4.

GCF(70344,70364) = 4

We will now calculate the prime factors of 70344 and 70364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70344 and 70364.

How to find the GCF of 70344 and 70364?

We will first find the prime factorization of 70344 and 70364. After we will calculate the factors of 70344 and 70364 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 70364

Prime factors of 70364 are 2, 7, 359. Prime factorization of 70364 in exponential form is:

70364 = 2² × 7² × 359¹

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 70364

List of positive integer factors of 70364 that divides 70344 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 359, 718, 1436, 2513, 5026, 10052, 17591, 35182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70344 and 70364. The biggest common factor number is the GCF number.
So the greatest common factor 70344 and 70364 is 4.

Also check out the Least Common Multiple of 70344 and 70364