What is the Greatest Common Factor of 55860 and 55873?

Greatest common factor (GCF) of 55860 and 55873 is 1.

GCF(55860,55873) = 1

We will now calculate the prime factors of 55860 and 55873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55860 and 55873.

How to find the GCF of 55860 and 55873?

We will first find the prime factorization of 55860 and 55873. After we will calculate the factors of 55860 and 55873 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 55873

Prime factors of 55873 are 59, 947. Prime factorization of 55873 in exponential form is:

55873 = 59¹ × 947¹

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 55873

List of positive integer factors of 55873 that divides 55860 without a remainder.

1, 59, 947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55860 and 55873. The biggest common factor number is the GCF number.
So the greatest common factor 55860 and 55873 is 1.

Also check out the Least Common Multiple of 55860 and 55873