What is the Greatest Common Factor of 33960 and 33967?

Greatest common factor (GCF) of 33960 and 33967 is 1.

GCF(33960,33967) = 1

We will now calculate the prime factors of 33960 and 33967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33960 and 33967.

How to find the GCF of 33960 and 33967?

We will first find the prime factorization of 33960 and 33967. After we will calculate the factors of 33960 and 33967 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 33967

Prime factors of 33967 are 33967. Prime factorization of 33967 in exponential form is:

33967 = 33967¹

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 33967

List of positive integer factors of 33967 that divides 33960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33960 and 33967. The biggest common factor number is the GCF number.
So the greatest common factor 33960 and 33967 is 1.

Also check out the Least Common Multiple of 33960 and 33967