What is the Greatest Common Factor of 59500 and 59505?

Greatest common factor (GCF) of 59500 and 59505 is 5.

GCF(59500,59505) = 5

We will now calculate the prime factors of 59500 and 59505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59500 and 59505.

How to find the GCF of 59500 and 59505?

We will first find the prime factorization of 59500 and 59505. After we will calculate the factors of 59500 and 59505 and find the biggest common factor number .

Step-1: Prime Factorization of 59500

Prime factors of 59500 are 2, 5, 7, 17. Prime factorization of 59500 in exponential form is:

59500 = 2² × 5³ × 7¹ × 17¹

Step-2: Prime Factorization of 59505

Prime factors of 59505 are 3, 5, 3967. Prime factorization of 59505 in exponential form is:

59505 = 3¹ × 5¹ × 3967¹

Step-3: Factors of 59500

List of positive integer factors of 59500 that divides 59500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 125, 140, 170, 175, 238, 250, 340, 350, 425, 476, 500, 595, 700, 850, 875, 1190, 1700, 1750, 2125, 2380, 2975, 3500, 4250, 5950, 8500, 11900, 14875, 29750

Step-4: Factors of 59505

List of positive integer factors of 59505 that divides 59500 without a remainder.

1, 3, 5, 15, 3967, 11901, 19835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59500 and 59505. The biggest common factor number is the GCF number.
So the greatest common factor 59500 and 59505 is 5.

Also check out the Least Common Multiple of 59500 and 59505