What is the Greatest Common Factor of 49855 and 49868?

Greatest common factor (GCF) of 49855 and 49868 is 13.

GCF(49855,49868) = 13

We will now calculate the prime factors of 49855 and 49868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49855 and 49868.

How to find the GCF of 49855 and 49868?

We will first find the prime factorization of 49855 and 49868. After we will calculate the factors of 49855 and 49868 and find the biggest common factor number .

Step-1: Prime Factorization of 49855

Prime factors of 49855 are 5, 13, 59. Prime factorization of 49855 in exponential form is:

49855 = 5¹ × 13² × 59¹

Step-2: Prime Factorization of 49868

Prime factors of 49868 are 2, 7, 13, 137. Prime factorization of 49868 in exponential form is:

49868 = 2² × 7¹ × 13¹ × 137¹

Step-3: Factors of 49855

List of positive integer factors of 49855 that divides 49855 without a remainder.

1, 5, 13, 59, 65, 169, 295, 767, 845, 3835, 9971

Step-4: Factors of 49868

List of positive integer factors of 49868 that divides 49855 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 137, 182, 274, 364, 548, 959, 1781, 1918, 3562, 3836, 7124, 12467, 24934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49855 and 49868. The biggest common factor number is the GCF number.
So the greatest common factor 49855 and 49868 is 13.

Also check out the Least Common Multiple of 49855 and 49868