What is the Greatest Common Factor of 79815 and 79830?

Greatest common factor (GCF) of 79815 and 79830 is 15.

GCF(79815,79830) = 15

We will now calculate the prime factors of 79815 and 79830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79815 and 79830.

How to find the GCF of 79815 and 79830?

We will first find the prime factorization of 79815 and 79830. After we will calculate the factors of 79815 and 79830 and find the biggest common factor number .

Step-1: Prime Factorization of 79815

Prime factors of 79815 are 3, 5, 17, 313. Prime factorization of 79815 in exponential form is:

79815 = 3¹ × 5¹ × 17¹ × 313¹

Step-2: Prime Factorization of 79830

Prime factors of 79830 are 2, 3, 5, 887. Prime factorization of 79830 in exponential form is:

79830 = 2¹ × 3² × 5¹ × 887¹

Step-3: Factors of 79815

List of positive integer factors of 79815 that divides 79815 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 313, 939, 1565, 4695, 5321, 15963, 26605

Step-4: Factors of 79830

List of positive integer factors of 79830 that divides 79815 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 887, 1774, 2661, 4435, 5322, 7983, 8870, 13305, 15966, 26610, 39915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79815 and 79830. The biggest common factor number is the GCF number.
So the greatest common factor 79815 and 79830 is 15.

Also check out the Least Common Multiple of 79815 and 79830