What is the Greatest Common Factor of 19985 and 19995?

Greatest common factor (GCF) of 19985 and 19995 is 5.

GCF(19985,19995) = 5

We will now calculate the prime factors of 19985 and 19995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19985 and 19995.

How to find the GCF of 19985 and 19995?

We will first find the prime factorization of 19985 and 19995. After we will calculate the factors of 19985 and 19995 and find the biggest common factor number .

Step-1: Prime Factorization of 19985

Prime factors of 19985 are 5, 7, 571. Prime factorization of 19985 in exponential form is:

19985 = 5¹ × 7¹ × 571¹

Step-2: Prime Factorization of 19995

Prime factors of 19995 are 3, 5, 31, 43. Prime factorization of 19995 in exponential form is:

19995 = 3¹ × 5¹ × 31¹ × 43¹

Step-3: Factors of 19985

List of positive integer factors of 19985 that divides 19985 without a remainder.

1, 5, 7, 35, 571, 2855, 3997

Step-4: Factors of 19995

List of positive integer factors of 19995 that divides 19985 without a remainder.

1, 3, 5, 15, 31, 43, 93, 129, 155, 215, 465, 645, 1333, 3999, 6665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19985 and 19995. The biggest common factor number is the GCF number.
So the greatest common factor 19985 and 19995 is 5.

Also check out the Least Common Multiple of 19985 and 19995