What is the Greatest Common Factor of 33760 and 33769?

Greatest common factor (GCF) of 33760 and 33769 is 1.

GCF(33760,33769) = 1

We will now calculate the prime factors of 33760 and 33769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33760 and 33769.

How to find the GCF of 33760 and 33769?

We will first find the prime factorization of 33760 and 33769. After we will calculate the factors of 33760 and 33769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33769

Prime factors of 33769 are 33769. Prime factorization of 33769 in exponential form is:

33769 = 33769¹

Step-3: Factors of 33760

List of positive integer factors of 33760 that divides 33760 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

Step-4: Factors of 33769

List of positive integer factors of 33769 that divides 33760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33760 and 33769. The biggest common factor number is the GCF number.
So the greatest common factor 33760 and 33769 is 1.

Also check out the Least Common Multiple of 33760 and 33769