What is the Greatest Common Factor of 5880 and 5900?

Greatest common factor (GCF) of 5880 and 5900 is 20.

GCF(5880,5900) = 20

We will now calculate the prime factors of 5880 and 5900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5880 and 5900.

How to find the GCF of 5880 and 5900?

We will first find the prime factorization of 5880 and 5900. After we will calculate the factors of 5880 and 5900 and find the biggest common factor number .

Step-1: Prime Factorization of 5880

Prime factors of 5880 are 2, 3, 5, 7. Prime factorization of 5880 in exponential form is:

5880 = 2³ × 3¹ × 5¹ × 7²

Step-2: 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-3: Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940

Step-4: Factors of 5900

List of positive integer factors of 5900 that divides 5880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5880 and 5900. The biggest common factor number is the GCF number.
So the greatest common factor 5880 and 5900 is 20.

Also check out the Least Common Multiple of 5880 and 5900