What is the Greatest Common Factor of 49895 and 49910?

Greatest common factor (GCF) of 49895 and 49910 is 5.

GCF(49895,49910) = 5

We will now calculate the prime factors of 49895 and 49910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49895 and 49910.

How to find the GCF of 49895 and 49910?

We will first find the prime factorization of 49895 and 49910. After we will calculate the factors of 49895 and 49910 and find the biggest common factor number .

Step-1: Prime Factorization of 49895

Prime factors of 49895 are 5, 17, 587. Prime factorization of 49895 in exponential form is:

49895 = 5¹ × 17¹ × 587¹

Step-2: Prime Factorization of 49910

Prime factors of 49910 are 2, 5, 7, 23, 31. Prime factorization of 49910 in exponential form is:

49910 = 2¹ × 5¹ × 7¹ × 23¹ × 31¹

Step-3: Factors of 49895

List of positive integer factors of 49895 that divides 49895 without a remainder.

1, 5, 17, 85, 587, 2935, 9979

Step-4: Factors of 49910

List of positive integer factors of 49910 that divides 49895 without a remainder.

1, 2, 5, 7, 10, 14, 23, 31, 35, 46, 62, 70, 115, 155, 161, 217, 230, 310, 322, 434, 713, 805, 1085, 1426, 1610, 2170, 3565, 4991, 7130, 9982, 24955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49895 and 49910. The biggest common factor number is the GCF number.
So the greatest common factor 49895 and 49910 is 5.

Also check out the Least Common Multiple of 49895 and 49910