What is the Greatest Common Factor of 33944 and 33960?

Greatest common factor (GCF) of 33944 and 33960 is 8.

GCF(33944,33960) = 8

We will now calculate the prime factors of 33944 and 33960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33944 and 33960.

How to find the GCF of 33944 and 33960?

We will first find the prime factorization of 33944 and 33960. After we will calculate the factors of 33944 and 33960 and find the biggest common factor number .

Step-1: Prime Factorization of 33944

Prime factors of 33944 are 2, 4243. Prime factorization of 33944 in exponential form is:

33944 = 2³ × 4243¹

Step-2: Prime Factorization of 33960

Prime factors of 33960 are 2, 3, 5, 283. Prime factorization of 33960 in exponential form is:

33960 = 2³ × 3¹ × 5¹ × 283¹

Step-3: Factors of 33944

List of positive integer factors of 33944 that divides 33944 without a remainder.

1, 2, 4, 8, 4243, 8486, 16972

Step-4: Factors of 33960

List of positive integer factors of 33960 that divides 33944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33944 and 33960. The biggest common factor number is the GCF number.
So the greatest common factor 33944 and 33960 is 8.

Also check out the Least Common Multiple of 33944 and 33960