What is the Greatest Common Factor of 59792 and 59800?

Greatest common factor (GCF) of 59792 and 59800 is 8.

GCF(59792,59800) = 8

We will now calculate the prime factors of 59792 and 59800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59792 and 59800.

How to find the GCF of 59792 and 59800?

We will first find the prime factorization of 59792 and 59800. After we will calculate the factors of 59792 and 59800 and find the biggest common factor number .

Step-1: Prime Factorization of 59792

Prime factors of 59792 are 2, 37, 101. Prime factorization of 59792 in exponential form is:

59792 = 2⁴ × 37¹ × 101¹

Step-2: Prime Factorization of 59800

Prime factors of 59800 are 2, 5, 13, 23. Prime factorization of 59800 in exponential form is:

59800 = 2³ × 5² × 13¹ × 23¹

Step-3: Factors of 59792

List of positive integer factors of 59792 that divides 59792 without a remainder.

1, 2, 4, 8, 16, 37, 74, 101, 148, 202, 296, 404, 592, 808, 1616, 3737, 7474, 14948, 29896

Step-4: Factors of 59800

List of positive integer factors of 59800 that divides 59792 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 23, 25, 26, 40, 46, 50, 52, 65, 92, 100, 104, 115, 130, 184, 200, 230, 260, 299, 325, 460, 520, 575, 598, 650, 920, 1150, 1196, 1300, 1495, 2300, 2392, 2600, 2990, 4600, 5980, 7475, 11960, 14950, 29900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59792 and 59800. The biggest common factor number is the GCF number.
So the greatest common factor 59792 and 59800 is 8.

Also check out the Least Common Multiple of 59792 and 59800