What is the Greatest Common Factor of 32610 and 32630?

Greatest common factor (GCF) of 32610 and 32630 is 10.

GCF(32610,32630) = 10

We will now calculate the prime factors of 32610 and 32630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32610 and 32630.

How to find the GCF of 32610 and 32630?

We will first find the prime factorization of 32610 and 32630. After we will calculate the factors of 32610 and 32630 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32630

Prime factors of 32630 are 2, 5, 13, 251. Prime factorization of 32630 in exponential form is:

32630 = 2¹ × 5¹ × 13¹ × 251¹

Step-3: Factors of 32610

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

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

Step-4: Factors of 32630

List of positive integer factors of 32630 that divides 32610 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 251, 502, 1255, 2510, 3263, 6526, 16315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32610 and 32630. The biggest common factor number is the GCF number.
So the greatest common factor 32610 and 32630 is 10.

Also check out the Least Common Multiple of 32610 and 32630