What is the Greatest Common Factor of 60895 and 60900?

Greatest common factor (GCF) of 60895 and 60900 is 5.

GCF(60895,60900) = 5

We will now calculate the prime factors of 60895 and 60900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60895 and 60900.

How to find the GCF of 60895 and 60900?

We will first find the prime factorization of 60895 and 60900. After we will calculate the factors of 60895 and 60900 and find the biggest common factor number .

Step-1: Prime Factorization of 60895

Prime factors of 60895 are 5, 19, 641. Prime factorization of 60895 in exponential form is:

60895 = 5¹ × 19¹ × 641¹

Step-2: Prime Factorization of 60900

Prime factors of 60900 are 2, 3, 5, 7, 29. Prime factorization of 60900 in exponential form is:

60900 = 2² × 3¹ × 5² × 7¹ × 29¹

Step-3: Factors of 60895

List of positive integer factors of 60895 that divides 60895 without a remainder.

1, 5, 19, 95, 641, 3205, 12179

Step-4: Factors of 60900

List of positive integer factors of 60900 that divides 60895 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 29, 30, 35, 42, 50, 58, 60, 70, 75, 84, 87, 100, 105, 116, 140, 145, 150, 174, 175, 203, 210, 290, 300, 348, 350, 406, 420, 435, 525, 580, 609, 700, 725, 812, 870, 1015, 1050, 1218, 1450, 1740, 2030, 2100, 2175, 2436, 2900, 3045, 4060, 4350, 5075, 6090, 8700, 10150, 12180, 15225, 20300, 30450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60895 and 60900. The biggest common factor number is the GCF number.
So the greatest common factor 60895 and 60900 is 5.

Also check out the Least Common Multiple of 60895 and 60900