What is the Greatest Common Factor of 32840 and 32850?

Greatest common factor (GCF) of 32840 and 32850 is 10.

GCF(32840,32850) = 10

We will now calculate the prime factors of 32840 and 32850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32840 and 32850.

How to find the GCF of 32840 and 32850?

We will first find the prime factorization of 32840 and 32850. After we will calculate the factors of 32840 and 32850 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32850

Prime factors of 32850 are 2, 3, 5, 73. Prime factorization of 32850 in exponential form is:

32850 = 2¹ × 3² × 5² × 73¹

Step-3: Factors of 32840

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

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

Step-4: Factors of 32850

List of positive integer factors of 32850 that divides 32840 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 73, 75, 90, 146, 150, 219, 225, 365, 438, 450, 657, 730, 1095, 1314, 1825, 2190, 3285, 3650, 5475, 6570, 10950, 16425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32840 and 32850. The biggest common factor number is the GCF number.
So the greatest common factor 32840 and 32850 is 10.

Also check out the Least Common Multiple of 32840 and 32850