What is the Greatest Common Factor of 59892 and 59896?

Greatest common factor (GCF) of 59892 and 59896 is 4.

GCF(59892,59896) = 4

We will now calculate the prime factors of 59892 and 59896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59892 and 59896.

How to find the GCF of 59892 and 59896?

We will first find the prime factorization of 59892 and 59896. After we will calculate the factors of 59892 and 59896 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 59896

Prime factors of 59896 are 2, 7487. Prime factorization of 59896 in exponential form is:

59896 = 2³ × 7487¹

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 59896

List of positive integer factors of 59896 that divides 59892 without a remainder.

1, 2, 4, 8, 7487, 14974, 29948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59892 and 59896. The biggest common factor number is the GCF number.
So the greatest common factor 59892 and 59896 is 4.

Also check out the Least Common Multiple of 59892 and 59896