What is the Greatest Common Factor of 70320 and 70338?

Greatest common factor (GCF) of 70320 and 70338 is 6.

GCF(70320,70338) = 6

We will now calculate the prime factors of 70320 and 70338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70320 and 70338.

How to find the GCF of 70320 and 70338?

We will first find the prime factorization of 70320 and 70338. After we will calculate the factors of 70320 and 70338 and find the biggest common factor number .

Step-1: Prime Factorization of 70320

Prime factors of 70320 are 2, 3, 5, 293. Prime factorization of 70320 in exponential form is:

70320 = 2⁴ × 3¹ × 5¹ × 293¹

Step-2: Prime Factorization of 70338

Prime factors of 70338 are 2, 3, 19, 617. Prime factorization of 70338 in exponential form is:

70338 = 2¹ × 3¹ × 19¹ × 617¹

Step-3: Factors of 70320

List of positive integer factors of 70320 that divides 70320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 293, 586, 879, 1172, 1465, 1758, 2344, 2930, 3516, 4395, 4688, 5860, 7032, 8790, 11720, 14064, 17580, 23440, 35160

Step-4: Factors of 70338

List of positive integer factors of 70338 that divides 70320 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 617, 1234, 1851, 3702, 11723, 23446, 35169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70320 and 70338. The biggest common factor number is the GCF number.
So the greatest common factor 70320 and 70338 is 6.

Also check out the Least Common Multiple of 70320 and 70338