What is the Greatest Common Factor of 70320 and 70330?

Greatest common factor (GCF) of 70320 and 70330 is 10.

GCF(70320,70330) = 10

We will now calculate the prime factors of 70320 and 70330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70320 and 70330.

How to find the GCF of 70320 and 70330?

We will first find the prime factorization of 70320 and 70330. After we will calculate the factors of 70320 and 70330 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 70330

Prime factors of 70330 are 2, 5, 13, 541. Prime factorization of 70330 in exponential form is:

70330 = 2¹ × 5¹ × 13¹ × 541¹

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 70330

List of positive integer factors of 70330 that divides 70320 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 541, 1082, 2705, 5410, 7033, 14066, 35165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70320 and 70330. The biggest common factor number is the GCF number.
So the greatest common factor 70320 and 70330 is 10.

Also check out the Least Common Multiple of 70320 and 70330