What is the Greatest Common Factor of 49854 and 49860?

Greatest common factor (GCF) of 49854 and 49860 is 6.

GCF(49854,49860) = 6

We will now calculate the prime factors of 49854 and 49860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49854 and 49860.

How to find the GCF of 49854 and 49860?

We will first find the prime factorization of 49854 and 49860. After we will calculate the factors of 49854 and 49860 and find the biggest common factor number .

Step-1: Prime Factorization of 49854

Prime factors of 49854 are 2, 3, 7, 1187. Prime factorization of 49854 in exponential form is:

49854 = 2¹ × 3¹ × 7¹ × 1187¹

Step-2: Prime Factorization of 49860

Prime factors of 49860 are 2, 3, 5, 277. Prime factorization of 49860 in exponential form is:

49860 = 2² × 3² × 5¹ × 277¹

Step-3: Factors of 49854

List of positive integer factors of 49854 that divides 49854 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1187, 2374, 3561, 7122, 8309, 16618, 24927

Step-4: Factors of 49860

List of positive integer factors of 49860 that divides 49854 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 277, 554, 831, 1108, 1385, 1662, 2493, 2770, 3324, 4155, 4986, 5540, 8310, 9972, 12465, 16620, 24930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49854 and 49860. The biggest common factor number is the GCF number.
So the greatest common factor 49854 and 49860 is 6.

Also check out the Least Common Multiple of 49854 and 49860