What is the Greatest Common Factor of 59800 and 59807?

Greatest common factor (GCF) of 59800 and 59807 is 1.

GCF(59800,59807) = 1

We will now calculate the prime factors of 59800 and 59807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59800 and 59807.

How to find the GCF of 59800 and 59807?

We will first find the prime factorization of 59800 and 59807. After we will calculate the factors of 59800 and 59807 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59807

Prime factors of 59807 are 11, 5437. Prime factorization of 59807 in exponential form is:

59807 = 11¹ × 5437¹

Step-3: Factors of 59800

List of positive integer factors of 59800 that divides 59800 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

Step-4: Factors of 59807

List of positive integer factors of 59807 that divides 59800 without a remainder.

1, 11, 5437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59800 and 59807. The biggest common factor number is the GCF number.
So the greatest common factor 59800 and 59807 is 1.

Also check out the Least Common Multiple of 59800 and 59807