What is the Greatest Common Factor of 49910 and 49925?

Greatest common factor (GCF) of 49910 and 49925 is 5.

GCF(49910,49925) = 5

We will now calculate the prime factors of 49910 and 49925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49910 and 49925.

How to find the GCF of 49910 and 49925?

We will first find the prime factorization of 49910 and 49925. After we will calculate the factors of 49910 and 49925 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49925

Prime factors of 49925 are 5, 1997. Prime factorization of 49925 in exponential form is:

49925 = 5² × 1997¹

Step-3: Factors of 49910

List of positive integer factors of 49910 that divides 49910 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

Step-4: Factors of 49925

List of positive integer factors of 49925 that divides 49910 without a remainder.

1, 5, 25, 1997, 9985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49910 and 49925. The biggest common factor number is the GCF number.
So the greatest common factor 49910 and 49925 is 5.

Also check out the Least Common Multiple of 49910 and 49925