What is the Greatest Common Factor of 32830 and 32840?

Greatest common factor (GCF) of 32830 and 32840 is 10.

GCF(32830,32840) = 10

We will now calculate the prime factors of 32830 and 32840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32830 and 32840.

How to find the GCF of 32830 and 32840?

We will first find the prime factorization of 32830 and 32840. After we will calculate the factors of 32830 and 32840 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 32840

Prime factors of 32840 are 2, 5, 821. Prime factorization of 32840 in exponential form is:

32840 = 2³ × 5¹ × 821¹

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 32840

List of positive integer factors of 32840 that divides 32830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 821, 1642, 3284, 4105, 6568, 8210, 16420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32830 and 32840. The biggest common factor number is the GCF number.
So the greatest common factor 32830 and 32840 is 10.

Also check out the Least Common Multiple of 32830 and 32840