What is the Greatest Common Factor of 32830 and 32846?

Greatest common factor (GCF) of 32830 and 32846 is 2.

GCF(32830,32846) = 2

We will now calculate the prime factors of 32830 and 32846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32830 and 32846.

How to find the GCF of 32830 and 32846?

We will first find the prime factorization of 32830 and 32846. After we will calculate the factors of 32830 and 32846 and find the biggest common factor number .

Step-1: Prime Factorization of 32830

Prime factors of 32830 are 2, 5, 7, 67. Prime factorization of 32830 in exponential form is:

32830 = 2¹ × 5¹ × 7² × 67¹

Step-2: Prime Factorization of 32846

Prime factors of 32846 are 2, 11, 1493. Prime factorization of 32846 in exponential form is:

32846 = 2¹ × 11¹ × 1493¹

Step-3: Factors of 32830

List of positive integer factors of 32830 that divides 32830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 67, 70, 98, 134, 245, 335, 469, 490, 670, 938, 2345, 3283, 4690, 6566, 16415

Step-4: Factors of 32846

List of positive integer factors of 32846 that divides 32830 without a remainder.

1, 2, 11, 22, 1493, 2986, 16423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32830 and 32846. The biggest common factor number is the GCF number.
So the greatest common factor 32830 and 32846 is 2.

Also check out the Least Common Multiple of 32830 and 32846