What is the Greatest Common Factor of 59888 and 59908?

Greatest common factor (GCF) of 59888 and 59908 is 4.

GCF(59888,59908) = 4

We will now calculate the prime factors of 59888 and 59908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59888 and 59908.

How to find the GCF of 59888 and 59908?

We will first find the prime factorization of 59888 and 59908. After we will calculate the factors of 59888 and 59908 and find the biggest common factor number .

Step-1: Prime Factorization of 59888

Prime factors of 59888 are 2, 19, 197. Prime factorization of 59888 in exponential form is:

59888 = 2⁴ × 19¹ × 197¹

Step-2: Prime Factorization of 59908

Prime factors of 59908 are 2, 17, 881. Prime factorization of 59908 in exponential form is:

59908 = 2² × 17¹ × 881¹

Step-3: Factors of 59888

List of positive integer factors of 59888 that divides 59888 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 197, 304, 394, 788, 1576, 3152, 3743, 7486, 14972, 29944

Step-4: Factors of 59908

List of positive integer factors of 59908 that divides 59888 without a remainder.

1, 2, 4, 17, 34, 68, 881, 1762, 3524, 14977, 29954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59888 and 59908. The biggest common factor number is the GCF number.
So the greatest common factor 59888 and 59908 is 4.

Also check out the Least Common Multiple of 59888 and 59908