What is the Greatest Common Factor of 59884 and 59892?

Greatest common factor (GCF) of 59884 and 59892 is 4.

GCF(59884,59892) = 4

We will now calculate the prime factors of 59884 and 59892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59884 and 59892.

How to find the GCF of 59884 and 59892?

We will first find the prime factorization of 59884 and 59892. After we will calculate the factors of 59884 and 59892 and find the biggest common factor number .

Step-1: Prime Factorization of 59884

Prime factors of 59884 are 2, 11, 1361. Prime factorization of 59884 in exponential form is:

59884 = 2² × 11¹ × 1361¹

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 59884

List of positive integer factors of 59884 that divides 59884 without a remainder.

1, 2, 4, 11, 22, 44, 1361, 2722, 5444, 14971, 29942

Step-4: Factors of 59892

List of positive integer factors of 59892 that divides 59884 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 59884 and 59892. The biggest common factor number is the GCF number.
So the greatest common factor 59884 and 59892 is 4.

Also check out the Least Common Multiple of 59884 and 59892