What is the Greatest Common Factor of 67904 and 67920?

Greatest common factor (GCF) of 67904 and 67920 is 16.

GCF(67904,67920) = 16

We will now calculate the prime factors of 67904 and 67920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67904 and 67920.

How to find the GCF of 67904 and 67920?

We will first find the prime factorization of 67904 and 67920. After we will calculate the factors of 67904 and 67920 and find the biggest common factor number .

Step-1: Prime Factorization of 67904

Prime factors of 67904 are 2, 1061. Prime factorization of 67904 in exponential form is:

67904 = 2⁶ × 1061¹

Step-2: 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-3: Factors of 67904

List of positive integer factors of 67904 that divides 67904 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952

Step-4: Factors of 67920

List of positive integer factors of 67920 that divides 67904 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67904 and 67920. The biggest common factor number is the GCF number.
So the greatest common factor 67904 and 67920 is 16.

Also check out the Least Common Multiple of 67904 and 67920