What is the Greatest Common Factor of 67920 and 67935?

Greatest common factor (GCF) of 67920 and 67935 is 15.

GCF(67920,67935) = 15

We will now calculate the prime factors of 67920 and 67935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67920 and 67935.

How to find the GCF of 67920 and 67935?

We will first find the prime factorization of 67920 and 67935. After we will calculate the factors of 67920 and 67935 and find the biggest common factor number .

Step-1: Prime Factorization of 67920

Prime factors of 67920 are 2, 3, 5, 283. Prime factorization of 67920 in exponential form is:

67920 = 2⁴ × 3¹ × 5¹ × 283¹

Step-2: Prime Factorization of 67935

Prime factors of 67935 are 3, 5, 7, 647. Prime factorization of 67935 in exponential form is:

67935 = 3¹ × 5¹ × 7¹ × 647¹

Step-3: Factors of 67920

List of positive integer factors of 67920 that divides 67920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 283, 566, 849, 1132, 1415, 1698, 2264, 2830, 3396, 4245, 4528, 5660, 6792, 8490, 11320, 13584, 16980, 22640, 33960

Step-4: Factors of 67935

List of positive integer factors of 67935 that divides 67920 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 647, 1941, 3235, 4529, 9705, 13587, 22645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67920 and 67935. The biggest common factor number is the GCF number.
So the greatest common factor 67920 and 67935 is 15.

Also check out the Least Common Multiple of 67920 and 67935