What is the Greatest Common Factor of 59869 and 59888?

Greatest common factor (GCF) of 59869 and 59888 is 19.

GCF(59869,59888) = 19

We will now calculate the prime factors of 59869 and 59888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59869 and 59888.

How to find the GCF of 59869 and 59888?

We will first find the prime factorization of 59869 and 59888. After we will calculate the factors of 59869 and 59888 and find the biggest common factor number .

Step-1: Prime Factorization of 59869

Prime factors of 59869 are 19, 23, 137. Prime factorization of 59869 in exponential form is:

59869 = 19¹ × 23¹ × 137¹

Step-2: 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-3: Factors of 59869

List of positive integer factors of 59869 that divides 59869 without a remainder.

1, 19, 23, 137, 437, 2603, 3151

Step-4: Factors of 59888

List of positive integer factors of 59888 that divides 59869 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59869 and 59888. The biggest common factor number is the GCF number.
So the greatest common factor 59869 and 59888 is 19.

Also check out the Least Common Multiple of 59869 and 59888