What is the Greatest Common Factor of 5900 and 5910?

Greatest common factor (GCF) of 5900 and 5910 is 10.

GCF(5900,5910) = 10

We will now calculate the prime factors of 5900 and 5910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5900 and 5910.

How to find the GCF of 5900 and 5910?

We will first find the prime factorization of 5900 and 5910. After we will calculate the factors of 5900 and 5910 and find the biggest common factor number .

Step-1: Prime Factorization of 5900

Prime factors of 5900 are 2, 5, 59. Prime factorization of 5900 in exponential form is:

5900 = 2² × 5² × 59¹

Step-2: Prime Factorization of 5910

Prime factors of 5910 are 2, 3, 5, 197. Prime factorization of 5910 in exponential form is:

5910 = 2¹ × 3¹ × 5¹ × 197¹

Step-3: Factors of 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950

Step-4: Factors of 5910

List of positive integer factors of 5910 that divides 5900 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5900 and 5910. The biggest common factor number is the GCF number.
So the greatest common factor 5900 and 5910 is 10.

Also check out the Least Common Multiple of 5900 and 5910