What is the Greatest Common Factor of 18605 and 18620?

Greatest common factor (GCF) of 18605 and 18620 is 5.

GCF(18605,18620) = 5

We will now calculate the prime factors of 18605 and 18620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18605 and 18620.

How to find the GCF of 18605 and 18620?

We will first find the prime factorization of 18605 and 18620. After we will calculate the factors of 18605 and 18620 and find the biggest common factor number .

Step-1: Prime Factorization of 18605

Prime factors of 18605 are 5, 61. Prime factorization of 18605 in exponential form is:

18605 = 5¹ × 61²

Step-2: Prime Factorization of 18620

Prime factors of 18620 are 2, 5, 7, 19. Prime factorization of 18620 in exponential form is:

18620 = 2² × 5¹ × 7² × 19¹

Step-3: Factors of 18605

List of positive integer factors of 18605 that divides 18605 without a remainder.

1, 5, 61, 305, 3721

Step-4: Factors of 18620

List of positive integer factors of 18620 that divides 18605 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 49, 70, 76, 95, 98, 133, 140, 190, 196, 245, 266, 380, 490, 532, 665, 931, 980, 1330, 1862, 2660, 3724, 4655, 9310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18605 and 18620. The biggest common factor number is the GCF number.
So the greatest common factor 18605 and 18620 is 5.

Also check out the Least Common Multiple of 18605 and 18620