What is the Greatest Common Factor of 67920 and 67939?

Greatest common factor (GCF) of 67920 and 67939 is 1.

GCF(67920,67939) = 1

We will now calculate the prime factors of 67920 and 67939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67920 and 67939.

How to find the GCF of 67920 and 67939?

We will first find the prime factorization of 67920 and 67939. After we will calculate the factors of 67920 and 67939 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 67939

Prime factors of 67939 are 67939. Prime factorization of 67939 in exponential form is:

67939 = 67939¹

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 67939

List of positive integer factors of 67939 that divides 67920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67920 and 67939. The biggest common factor number is the GCF number.
So the greatest common factor 67920 and 67939 is 1.

Also check out the Least Common Multiple of 67920 and 67939