What is the Greatest Common Factor of 53880 and 53900?

Greatest common factor (GCF) of 53880 and 53900 is 20.

GCF(53880,53900) = 20

We will now calculate the prime factors of 53880 and 53900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53880 and 53900.

How to find the GCF of 53880 and 53900?

We will first find the prime factorization of 53880 and 53900. After we will calculate the factors of 53880 and 53900 and find the biggest common factor number .

Step-1: Prime Factorization of 53880

Prime factors of 53880 are 2, 3, 5, 449. Prime factorization of 53880 in exponential form is:

53880 = 2³ × 3¹ × 5¹ × 449¹

Step-2: Prime Factorization of 53900

Prime factors of 53900 are 2, 5, 7, 11. Prime factorization of 53900 in exponential form is:

53900 = 2² × 5² × 7² × 11¹

Step-3: Factors of 53880

List of positive integer factors of 53880 that divides 53880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 449, 898, 1347, 1796, 2245, 2694, 3592, 4490, 5388, 6735, 8980, 10776, 13470, 17960, 26940

Step-4: Factors of 53900

List of positive integer factors of 53900 that divides 53880 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 49, 50, 55, 70, 77, 98, 100, 110, 140, 154, 175, 196, 220, 245, 275, 308, 350, 385, 490, 539, 550, 700, 770, 980, 1078, 1100, 1225, 1540, 1925, 2156, 2450, 2695, 3850, 4900, 5390, 7700, 10780, 13475, 26950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53880 and 53900. The biggest common factor number is the GCF number.
So the greatest common factor 53880 and 53900 is 20.

Also check out the Least Common Multiple of 53880 and 53900