What is the Greatest Common Factor of 33580 and 33586?

Greatest common factor (GCF) of 33580 and 33586 is 2.

GCF(33580,33586) = 2

We will now calculate the prime factors of 33580 and 33586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33580 and 33586.

How to find the GCF of 33580 and 33586?

We will first find the prime factorization of 33580 and 33586. After we will calculate the factors of 33580 and 33586 and find the biggest common factor number .

Step-1: Prime Factorization of 33580

Prime factors of 33580 are 2, 5, 23, 73. Prime factorization of 33580 in exponential form is:

33580 = 2² × 5¹ × 23¹ × 73¹

Step-2: Prime Factorization of 33586

Prime factors of 33586 are 2, 7, 2399. Prime factorization of 33586 in exponential form is:

33586 = 2¹ × 7¹ × 2399¹

Step-3: Factors of 33580

List of positive integer factors of 33580 that divides 33580 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 73, 92, 115, 146, 230, 292, 365, 460, 730, 1460, 1679, 3358, 6716, 8395, 16790

Step-4: Factors of 33586

List of positive integer factors of 33586 that divides 33580 without a remainder.

1, 2, 7, 14, 2399, 4798, 16793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33580 and 33586. The biggest common factor number is the GCF number.
So the greatest common factor 33580 and 33586 is 2.

Also check out the Least Common Multiple of 33580 and 33586