What is the Greatest Common Factor of 59936 and 59950?

Greatest common factor (GCF) of 59936 and 59950 is 2.

GCF(59936,59950) = 2

We will now calculate the prime factors of 59936 and 59950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59936 and 59950.

How to find the GCF of 59936 and 59950?

We will first find the prime factorization of 59936 and 59950. After we will calculate the factors of 59936 and 59950 and find the biggest common factor number .

Step-1: Prime Factorization of 59936

Prime factors of 59936 are 2, 1873. Prime factorization of 59936 in exponential form is:

59936 = 2⁵ × 1873¹

Step-2: Prime Factorization of 59950

Prime factors of 59950 are 2, 5, 11, 109. Prime factorization of 59950 in exponential form is:

59950 = 2¹ × 5² × 11¹ × 109¹

Step-3: Factors of 59936

List of positive integer factors of 59936 that divides 59936 without a remainder.

1, 2, 4, 8, 16, 32, 1873, 3746, 7492, 14984, 29968

Step-4: Factors of 59950

List of positive integer factors of 59950 that divides 59936 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 109, 110, 218, 275, 545, 550, 1090, 1199, 2398, 2725, 5450, 5995, 11990, 29975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59936 and 59950. The biggest common factor number is the GCF number.
So the greatest common factor 59936 and 59950 is 2.

Also check out the Least Common Multiple of 59936 and 59950