What is the Greatest Common Factor of 59936 and 59949?

Greatest common factor (GCF) of 59936 and 59949 is 1.

GCF(59936,59949) = 1

We will now calculate the prime factors of 59936 and 59949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59936 and 59949.

How to find the GCF of 59936 and 59949?

We will first find the prime factorization of 59936 and 59949. After we will calculate the factors of 59936 and 59949 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 59949

Prime factors of 59949 are 3, 6661. Prime factorization of 59949 in exponential form is:

59949 = 3² × 6661¹

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 59949

List of positive integer factors of 59949 that divides 59936 without a remainder.

1, 3, 9, 6661, 19983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59936 and 59949. The biggest common factor number is the GCF number.
So the greatest common factor 59936 and 59949 is 1.

Also check out the Least Common Multiple of 59936 and 59949