What is the Greatest Common Factor of 33948 and 33960?

Greatest common factor (GCF) of 33948 and 33960 is 12.

GCF(33948,33960) = 12

We will now calculate the prime factors of 33948 and 33960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33948 and 33960.

How to find the GCF of 33948 and 33960?

We will first find the prime factorization of 33948 and 33960. After we will calculate the factors of 33948 and 33960 and find the biggest common factor number .

Step-1: Prime Factorization of 33948

Prime factors of 33948 are 2, 3, 23, 41. Prime factorization of 33948 in exponential form is:

33948 = 2² × 3² × 23¹ × 41¹

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 33948

List of positive integer factors of 33948 that divides 33948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 41, 46, 69, 82, 92, 123, 138, 164, 207, 246, 276, 369, 414, 492, 738, 828, 943, 1476, 1886, 2829, 3772, 5658, 8487, 11316, 16974

Step-4: Factors of 33960

List of positive integer factors of 33960 that divides 33948 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 33948 and 33960. The biggest common factor number is the GCF number.
So the greatest common factor 33948 and 33960 is 12.

Also check out the Least Common Multiple of 33948 and 33960