What is the Greatest Common Factor of 79830 and 79840?

Greatest common factor (GCF) of 79830 and 79840 is 10.

GCF(79830,79840) = 10

We will now calculate the prime factors of 79830 and 79840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79830 and 79840.

How to find the GCF of 79830 and 79840?

We will first find the prime factorization of 79830 and 79840. After we will calculate the factors of 79830 and 79840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79840

Prime factors of 79840 are 2, 5, 499. Prime factorization of 79840 in exponential form is:

79840 = 2⁵ × 5¹ × 499¹

Step-3: Factors of 79830

List of positive integer factors of 79830 that divides 79830 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

Step-4: Factors of 79840

List of positive integer factors of 79840 that divides 79830 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 15968, 19960, 39920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79830 and 79840. The biggest common factor number is the GCF number.
So the greatest common factor 79830 and 79840 is 10.

Also check out the Least Common Multiple of 79830 and 79840