What is the Greatest Common Factor of 5900 and 5920?

Greatest common factor (GCF) of 5900 and 5920 is 20.

GCF(5900,5920) = 20

We will now calculate the prime factors of 5900 and 5920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5900 and 5920.

How to find the GCF of 5900 and 5920?

We will first find the prime factorization of 5900 and 5920. After we will calculate the factors of 5900 and 5920 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 5920

Prime factors of 5920 are 2, 5, 37. Prime factorization of 5920 in exponential form is:

5920 = 2⁵ × 5¹ × 37¹

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 5920

List of positive integer factors of 5920 that divides 5900 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5900 and 5920. The biggest common factor number is the GCF number.
So the greatest common factor 5900 and 5920 is 20.

Also check out the Least Common Multiple of 5900 and 5920