What is the Greatest Common Factor of 33952 and 33960?

Greatest common factor (GCF) of 33952 and 33960 is 8.

GCF(33952,33960) = 8

We will now calculate the prime factors of 33952 and 33960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33952 and 33960.

How to find the GCF of 33952 and 33960?

We will first find the prime factorization of 33952 and 33960. After we will calculate the factors of 33952 and 33960 and find the biggest common factor number .

Step-1: Prime Factorization of 33952

Prime factors of 33952 are 2, 1061. Prime factorization of 33952 in exponential form is:

33952 = 2⁵ × 1061¹

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 33952

List of positive integer factors of 33952 that divides 33952 without a remainder.

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

Step-4: Factors of 33960

List of positive integer factors of 33960 that divides 33952 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 33952 and 33960. The biggest common factor number is the GCF number.
So the greatest common factor 33952 and 33960 is 8.

Also check out the Least Common Multiple of 33952 and 33960