What is the Greatest Common Factor of 55845 and 55860?

Greatest common factor (GCF) of 55845 and 55860 is 15.

GCF(55845,55860) = 15

We will now calculate the prime factors of 55845 and 55860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55845 and 55860.

How to find the GCF of 55845 and 55860?

We will first find the prime factorization of 55845 and 55860. After we will calculate the factors of 55845 and 55860 and find the biggest common factor number .

Step-1: Prime Factorization of 55845

Prime factors of 55845 are 3, 5, 17, 73. Prime factorization of 55845 in exponential form is:

55845 = 3² × 5¹ × 17¹ × 73¹

Step-2: 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-3: Factors of 55845

List of positive integer factors of 55845 that divides 55845 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765, 1095, 1241, 3285, 3723, 6205, 11169, 18615

Step-4: Factors of 55860

List of positive integer factors of 55860 that divides 55845 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55845 and 55860. The biggest common factor number is the GCF number.
So the greatest common factor 55845 and 55860 is 15.

Also check out the Least Common Multiple of 55845 and 55860