What is the Greatest Common Factor of 17620 and 17630?

Greatest common factor (GCF) of 17620 and 17630 is 10.

GCF(17620,17630) = 10

We will now calculate the prime factors of 17620 and 17630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17620 and 17630.

How to find the GCF of 17620 and 17630?

We will first find the prime factorization of 17620 and 17630. After we will calculate the factors of 17620 and 17630 and find the biggest common factor number .

Step-1: Prime Factorization of 17620

Prime factors of 17620 are 2, 5, 881. Prime factorization of 17620 in exponential form is:

17620 = 2² × 5¹ × 881¹

Step-2: Prime Factorization of 17630

Prime factors of 17630 are 2, 5, 41, 43. Prime factorization of 17630 in exponential form is:

17630 = 2¹ × 5¹ × 41¹ × 43¹

Step-3: Factors of 17620

List of positive integer factors of 17620 that divides 17620 without a remainder.

1, 2, 4, 5, 10, 20, 881, 1762, 3524, 4405, 8810

Step-4: Factors of 17630

List of positive integer factors of 17630 that divides 17620 without a remainder.

1, 2, 5, 10, 41, 43, 82, 86, 205, 215, 410, 430, 1763, 3526, 8815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17620 and 17630. The biggest common factor number is the GCF number.
So the greatest common factor 17620 and 17630 is 10.

Also check out the Least Common Multiple of 17620 and 17630