What is the Greatest Common Factor of 49874 and 49888?

Greatest common factor (GCF) of 49874 and 49888 is 2.

GCF(49874,49888) = 2

We will now calculate the prime factors of 49874 and 49888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49874 and 49888.

How to find the GCF of 49874 and 49888?

We will first find the prime factorization of 49874 and 49888. After we will calculate the factors of 49874 and 49888 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 49888

Prime factors of 49888 are 2, 1559. Prime factorization of 49888 in exponential form is:

49888 = 2⁵ × 1559¹

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 49888

List of positive integer factors of 49888 that divides 49874 without a remainder.

1, 2, 4, 8, 16, 32, 1559, 3118, 6236, 12472, 24944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49874 and 49888. The biggest common factor number is the GCF number.
So the greatest common factor 49874 and 49888 is 2.

Also check out the Least Common Multiple of 49874 and 49888