What is the Greatest Common Factor of 49874 and 49881?

Greatest common factor (GCF) of 49874 and 49881 is 1.

GCF(49874,49881) = 1

We will now calculate the prime factors of 49874 and 49881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49874 and 49881.

How to find the GCF of 49874 and 49881?

We will first find the prime factorization of 49874 and 49881. After we will calculate the factors of 49874 and 49881 and find the biggest common factor number .

Step-1: Prime Factorization of 49874

Prime factors of 49874 are 2, 11, 2267. Prime factorization of 49874 in exponential form is:

49874 = 2¹ × 11¹ × 2267¹

Step-2: Prime Factorization of 49881

Prime factors of 49881 are 3, 13, 1279. Prime factorization of 49881 in exponential form is:

49881 = 3¹ × 13¹ × 1279¹

Step-3: Factors of 49874

List of positive integer factors of 49874 that divides 49874 without a remainder.

1, 2, 11, 22, 2267, 4534, 24937

Step-4: Factors of 49881

List of positive integer factors of 49881 that divides 49874 without a remainder.

1, 3, 13, 39, 1279, 3837, 16627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49874 and 49881. The biggest common factor number is the GCF number.
So the greatest common factor 49874 and 49881 is 1.

Also check out the Least Common Multiple of 49874 and 49881