What is the Greatest Common Factor of 83900 and 83910?

Greatest common factor (GCF) of 83900 and 83910 is 10.

GCF(83900,83910) = 10

We will now calculate the prime factors of 83900 and 83910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83900 and 83910.

How to find the GCF of 83900 and 83910?

We will first find the prime factorization of 83900 and 83910. After we will calculate the factors of 83900 and 83910 and find the biggest common factor number .

Step-1: Prime Factorization of 83900

Prime factors of 83900 are 2, 5, 839. Prime factorization of 83900 in exponential form is:

83900 = 2² × 5² × 839¹

Step-2: Prime Factorization of 83910

Prime factors of 83910 are 2, 3, 5, 2797. Prime factorization of 83910 in exponential form is:

83910 = 2¹ × 3¹ × 5¹ × 2797¹

Step-3: Factors of 83900

List of positive integer factors of 83900 that divides 83900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 839, 1678, 3356, 4195, 8390, 16780, 20975, 41950

Step-4: Factors of 83910

List of positive integer factors of 83910 that divides 83900 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2797, 5594, 8391, 13985, 16782, 27970, 41955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83900 and 83910. The biggest common factor number is the GCF number.
So the greatest common factor 83900 and 83910 is 10.

Also check out the Least Common Multiple of 83900 and 83910