What is the Greatest Common Factor of 59872 and 59892?

Greatest common factor (GCF) of 59872 and 59892 is 4.

GCF(59872,59892) = 4

We will now calculate the prime factors of 59872 and 59892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59872 and 59892.

How to find the GCF of 59872 and 59892?

We will first find the prime factorization of 59872 and 59892. After we will calculate the factors of 59872 and 59892 and find the biggest common factor number .

Step-1: Prime Factorization of 59872

Prime factors of 59872 are 2, 1871. Prime factorization of 59872 in exponential form is:

59872 = 2⁵ × 1871¹

Step-2: Prime Factorization of 59892

Prime factors of 59892 are 2, 3, 7, 23, 31. Prime factorization of 59892 in exponential form is:

59892 = 2² × 3¹ × 7¹ × 23¹ × 31¹

Step-3: Factors of 59872

List of positive integer factors of 59872 that divides 59872 without a remainder.

1, 2, 4, 8, 16, 32, 1871, 3742, 7484, 14968, 29936

Step-4: Factors of 59892

List of positive integer factors of 59892 that divides 59872 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 31, 42, 46, 62, 69, 84, 92, 93, 124, 138, 161, 186, 217, 276, 322, 372, 434, 483, 644, 651, 713, 868, 966, 1302, 1426, 1932, 2139, 2604, 2852, 4278, 4991, 8556, 9982, 14973, 19964, 29946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59872 and 59892. The biggest common factor number is the GCF number.
So the greatest common factor 59872 and 59892 is 4.

Also check out the Least Common Multiple of 59872 and 59892