What is the Greatest Common Factor of 67920 and 67926?

Greatest common factor (GCF) of 67920 and 67926 is 6.

GCF(67920,67926) = 6

We will now calculate the prime factors of 67920 and 67926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67920 and 67926.

How to find the GCF of 67920 and 67926?

We will first find the prime factorization of 67920 and 67926. After we will calculate the factors of 67920 and 67926 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 67926

Prime factors of 67926 are 2, 3, 11321. Prime factorization of 67926 in exponential form is:

67926 = 2¹ × 3¹ × 11321¹

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 67926

List of positive integer factors of 67926 that divides 67920 without a remainder.

1, 2, 3, 6, 11321, 22642, 33963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67920 and 67926. The biggest common factor number is the GCF number.
So the greatest common factor 67920 and 67926 is 6.

Also check out the Least Common Multiple of 67920 and 67926