What is the Greatest Common Factor of 33754 and 33760?

Greatest common factor (GCF) of 33754 and 33760 is 2.

GCF(33754,33760) = 2

We will now calculate the prime factors of 33754 and 33760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33754 and 33760.

How to find the GCF of 33754 and 33760?

We will first find the prime factorization of 33754 and 33760. After we will calculate the factors of 33754 and 33760 and find the biggest common factor number .

Step-1: Prime Factorization of 33754

Prime factors of 33754 are 2, 7, 2411. Prime factorization of 33754 in exponential form is:

33754 = 2¹ × 7¹ × 2411¹

Step-2: Prime Factorization of 33760

Prime factors of 33760 are 2, 5, 211. Prime factorization of 33760 in exponential form is:

33760 = 2⁵ × 5¹ × 211¹

Step-3: Factors of 33754

List of positive integer factors of 33754 that divides 33754 without a remainder.

1, 2, 7, 14, 2411, 4822, 16877

Step-4: Factors of 33760

List of positive integer factors of 33760 that divides 33754 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 6752, 8440, 16880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33754 and 33760. The biggest common factor number is the GCF number.
So the greatest common factor 33754 and 33760 is 2.

Also check out the Least Common Multiple of 33754 and 33760