What is the Greatest Common Factor of 67920 and 67936?

Greatest common factor (GCF) of 67920 and 67936 is 16.

GCF(67920,67936) = 16

We will now calculate the prime factors of 67920 and 67936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67920 and 67936.

How to find the GCF of 67920 and 67936?

We will first find the prime factorization of 67920 and 67936. After we will calculate the factors of 67920 and 67936 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 67936

Prime factors of 67936 are 2, 11, 193. Prime factorization of 67936 in exponential form is:

67936 = 2⁵ × 11¹ × 193¹

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 67936

List of positive integer factors of 67936 that divides 67920 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 193, 352, 386, 772, 1544, 2123, 3088, 4246, 6176, 8492, 16984, 33968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67920 and 67936. The biggest common factor number is the GCF number.
So the greatest common factor 67920 and 67936 is 16.

Also check out the Least Common Multiple of 67920 and 67936