What is the Greatest Common Factor of 32600 and 32610?

Greatest common factor (GCF) of 32600 and 32610 is 10.

GCF(32600,32610) = 10

We will now calculate the prime factors of 32600 and 32610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32600 and 32610.

How to find the GCF of 32600 and 32610?

We will first find the prime factorization of 32600 and 32610. After we will calculate the factors of 32600 and 32610 and find the biggest common factor number .

Step-1: Prime Factorization of 32600

Prime factors of 32600 are 2, 5, 163. Prime factorization of 32600 in exponential form is:

32600 = 2³ × 5² × 163¹

Step-2: Prime Factorization of 32610

Prime factors of 32610 are 2, 3, 5, 1087. Prime factorization of 32610 in exponential form is:

32610 = 2¹ × 3¹ × 5¹ × 1087¹

Step-3: Factors of 32600

List of positive integer factors of 32600 that divides 32600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 163, 200, 326, 652, 815, 1304, 1630, 3260, 4075, 6520, 8150, 16300

Step-4: Factors of 32610

List of positive integer factors of 32610 that divides 32600 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1087, 2174, 3261, 5435, 6522, 10870, 16305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32600 and 32610. The biggest common factor number is the GCF number.
So the greatest common factor 32600 and 32610 is 10.

Also check out the Least Common Multiple of 32600 and 32610