What is the Greatest Common Factor of 55860 and 55876?

Greatest common factor (GCF) of 55860 and 55876 is 4.

GCF(55860,55876) = 4

We will now calculate the prime factors of 55860 and 55876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55860 and 55876.

How to find the GCF of 55860 and 55876?

We will first find the prime factorization of 55860 and 55876. After we will calculate the factors of 55860 and 55876 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 55876

Prime factors of 55876 are 2, 61, 229. Prime factorization of 55876 in exponential form is:

55876 = 2² × 61¹ × 229¹

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 55876

List of positive integer factors of 55876 that divides 55860 without a remainder.

1, 2, 4, 61, 122, 229, 244, 458, 916, 13969, 27938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55860 and 55876. The biggest common factor number is the GCF number.
So the greatest common factor 55860 and 55876 is 4.

Also check out the Least Common Multiple of 55860 and 55876