What is the Greatest Common Factor of 33960 and 33965?

Greatest common factor (GCF) of 33960 and 33965 is 5.

GCF(33960,33965) = 5

We will now calculate the prime factors of 33960 and 33965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33960 and 33965.

How to find the GCF of 33960 and 33965?

We will first find the prime factorization of 33960 and 33965. After we will calculate the factors of 33960 and 33965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33965

Prime factors of 33965 are 5, 6793. Prime factorization of 33965 in exponential form is:

33965 = 5¹ × 6793¹

Step-3: Factors of 33960

List of positive integer factors of 33960 that divides 33960 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

Step-4: Factors of 33965

List of positive integer factors of 33965 that divides 33960 without a remainder.

1, 5, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33960 and 33965. The biggest common factor number is the GCF number.
So the greatest common factor 33960 and 33965 is 5.

Also check out the Least Common Multiple of 33960 and 33965