What is the Greatest Common Factor of 60886 and 60900?

Greatest common factor (GCF) of 60886 and 60900 is 14.

GCF(60886,60900) = 14

We will now calculate the prime factors of 60886 and 60900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60886 and 60900.

How to find the GCF of 60886 and 60900?

We will first find the prime factorization of 60886 and 60900. After we will calculate the factors of 60886 and 60900 and find the biggest common factor number .

Step-1: Prime Factorization of 60886

Prime factors of 60886 are 2, 7, 4349. Prime factorization of 60886 in exponential form is:

60886 = 2¹ × 7¹ × 4349¹

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 60886

List of positive integer factors of 60886 that divides 60886 without a remainder.

1, 2, 7, 14, 4349, 8698, 30443

Step-4: Factors of 60900

List of positive integer factors of 60900 that divides 60886 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 60886 and 60900. The biggest common factor number is the GCF number.
So the greatest common factor 60886 and 60900 is 14.

Also check out the Least Common Multiple of 60886 and 60900