What is the Greatest Common Factor of 67304 and 67315?

Greatest common factor (GCF) of 67304 and 67315 is 1.

GCF(67304,67315) = 1

We will now calculate the prime factors of 67304 and 67315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67304 and 67315.

How to find the GCF of 67304 and 67315?

We will first find the prime factorization of 67304 and 67315. After we will calculate the factors of 67304 and 67315 and find the biggest common factor number .

Step-1: Prime Factorization of 67304

Prime factors of 67304 are 2, 47, 179. Prime factorization of 67304 in exponential form is:

67304 = 2³ × 47¹ × 179¹

Step-2: Prime Factorization of 67315

Prime factors of 67315 are 5, 13463. Prime factorization of 67315 in exponential form is:

67315 = 5¹ × 13463¹

Step-3: Factors of 67304

List of positive integer factors of 67304 that divides 67304 without a remainder.

1, 2, 4, 8, 47, 94, 179, 188, 358, 376, 716, 1432, 8413, 16826, 33652

Step-4: Factors of 67315

List of positive integer factors of 67315 that divides 67304 without a remainder.

1, 5, 13463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67304 and 67315. The biggest common factor number is the GCF number.
So the greatest common factor 67304 and 67315 is 1.

Also check out the Least Common Multiple of 67304 and 67315