What is the Greatest Common Factor of 59892 and 59906?

Greatest common factor (GCF) of 59892 and 59906 is 14.

GCF(59892,59906) = 14

We will now calculate the prime factors of 59892 and 59906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59892 and 59906.

How to find the GCF of 59892 and 59906?

We will first find the prime factorization of 59892 and 59906. After we will calculate the factors of 59892 and 59906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59906

Prime factors of 59906 are 2, 7, 11, 389. Prime factorization of 59906 in exponential form is:

59906 = 2¹ × 7¹ × 11¹ × 389¹

Step-3: Factors of 59892

List of positive integer factors of 59892 that divides 59892 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

Step-4: Factors of 59906

List of positive integer factors of 59906 that divides 59892 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 389, 778, 2723, 4279, 5446, 8558, 29953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59892 and 59906. The biggest common factor number is the GCF number.
So the greatest common factor 59892 and 59906 is 14.

Also check out the Least Common Multiple of 59892 and 59906