What is the Greatest Common Factor of 49888 and 49900?

Greatest common factor (GCF) of 49888 and 49900 is 4.

GCF(49888,49900) = 4

We will now calculate the prime factors of 49888 and 49900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49888 and 49900.

How to find the GCF of 49888 and 49900?

We will first find the prime factorization of 49888 and 49900. After we will calculate the factors of 49888 and 49900 and find the biggest common factor number .

Step-1: Prime Factorization of 49888

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

49888 = 2⁵ × 1559¹

Step-2: Prime Factorization of 49900

Prime factors of 49900 are 2, 5, 499. Prime factorization of 49900 in exponential form is:

49900 = 2² × 5² × 499¹

Step-3: Factors of 49888

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

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

Step-4: Factors of 49900

List of positive integer factors of 49900 that divides 49888 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 499, 998, 1996, 2495, 4990, 9980, 12475, 24950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49888 and 49900. The biggest common factor number is the GCF number.
So the greatest common factor 49888 and 49900 is 4.

Also check out the Least Common Multiple of 49888 and 49900