What is the Greatest Common Factor of 33748 and 33752?

Greatest common factor (GCF) of 33748 and 33752 is 4.

GCF(33748,33752) = 4

We will now calculate the prime factors of 33748 and 33752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33748 and 33752.

How to find the GCF of 33748 and 33752?

We will first find the prime factorization of 33748 and 33752. After we will calculate the factors of 33748 and 33752 and find the biggest common factor number .

Step-1: Prime Factorization of 33748

Prime factors of 33748 are 2, 11, 13, 59. Prime factorization of 33748 in exponential form is:

33748 = 2² × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 33752

Prime factors of 33752 are 2, 4219. Prime factorization of 33752 in exponential form is:

33752 = 2³ × 4219¹

Step-3: Factors of 33748

List of positive integer factors of 33748 that divides 33748 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 59, 118, 143, 236, 286, 572, 649, 767, 1298, 1534, 2596, 3068, 8437, 16874

Step-4: Factors of 33752

List of positive integer factors of 33752 that divides 33748 without a remainder.

1, 2, 4, 8, 4219, 8438, 16876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33748 and 33752. The biggest common factor number is the GCF number.
So the greatest common factor 33748 and 33752 is 4.

Also check out the Least Common Multiple of 33748 and 33752