What is the Greatest Common Factor of 59780 and 59800?

Greatest common factor (GCF) of 59780 and 59800 is 20.

GCF(59780,59800) = 20

We will now calculate the prime factors of 59780 and 59800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59800.

How to find the GCF of 59780 and 59800?

We will first find the prime factorization of 59780 and 59800. After we will calculate the factors of 59780 and 59800 and find the biggest common factor number .

Step-1: Prime Factorization of 59780

Prime factors of 59780 are 2, 5, 7, 61. Prime factorization of 59780 in exponential form is:

59780 = 2² × 5¹ × 7² × 61¹

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 59780

List of positive integer factors of 59780 that divides 59780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 61, 70, 98, 122, 140, 196, 244, 245, 305, 427, 490, 610, 854, 980, 1220, 1708, 2135, 2989, 4270, 5978, 8540, 11956, 14945, 29890

Step-4: Factors of 59800

List of positive integer factors of 59800 that divides 59780 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 59780 and 59800. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59800 is 20.

Also check out the Least Common Multiple of 59780 and 59800