What is the Greatest Common Factor of 32610 and 32620?

Greatest common factor (GCF) of 32610 and 32620 is 10.

GCF(32610,32620) = 10

We will now calculate the prime factors of 32610 and 32620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32610 and 32620.

How to find the GCF of 32610 and 32620?

We will first find the prime factorization of 32610 and 32620. After we will calculate the factors of 32610 and 32620 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 32620

Prime factors of 32620 are 2, 5, 7, 233. Prime factorization of 32620 in exponential form is:

32620 = 2² × 5¹ × 7¹ × 233¹

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 32620

List of positive integer factors of 32620 that divides 32610 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 233, 466, 932, 1165, 1631, 2330, 3262, 4660, 6524, 8155, 16310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32610 and 32620. The biggest common factor number is the GCF number.
So the greatest common factor 32610 and 32620 is 10.

Also check out the Least Common Multiple of 32610 and 32620