What is the Greatest Common Factor of 55860 and 55875?

Greatest common factor (GCF) of 55860 and 55875 is 15.

GCF(55860,55875) = 15

We will now calculate the prime factors of 55860 and 55875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55860 and 55875.

How to find the GCF of 55860 and 55875?

We will first find the prime factorization of 55860 and 55875. After we will calculate the factors of 55860 and 55875 and find the biggest common factor number .

Step-1: Prime Factorization of 55860

Prime factors of 55860 are 2, 3, 5, 7, 19. Prime factorization of 55860 in exponential form is:

55860 = 2² × 3¹ × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 3¹ × 5³ × 149¹

Step-3: Factors of 55860

List of positive integer factors of 55860 that divides 55860 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 49, 57, 60, 70, 76, 84, 95, 98, 105, 114, 133, 140, 147, 190, 196, 210, 228, 245, 266, 285, 294, 380, 399, 420, 490, 532, 570, 588, 665, 735, 798, 931, 980, 1140, 1330, 1470, 1596, 1862, 1995, 2660, 2793, 2940, 3724, 3990, 4655, 5586, 7980, 9310, 11172, 13965, 18620, 27930

Step-4: Factors of 55875

List of positive integer factors of 55875 that divides 55860 without a remainder.

1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55860 and 55875. The biggest common factor number is the GCF number.
So the greatest common factor 55860 and 55875 is 15.

Also check out the Least Common Multiple of 55860 and 55875