What is the Greatest Common Factor of 60800 and 60810?

Greatest common factor (GCF) of 60800 and 60810 is 10.

GCF(60800,60810) = 10

We will now calculate the prime factors of 60800 and 60810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60800 and 60810.

How to find the GCF of 60800 and 60810?

We will first find the prime factorization of 60800 and 60810. After we will calculate the factors of 60800 and 60810 and find the biggest common factor number .

Step-1: Prime Factorization of 60800

Prime factors of 60800 are 2, 5, 19. Prime factorization of 60800 in exponential form is:

60800 = 2⁷ × 5² × 19¹

Step-2: Prime Factorization of 60810

Prime factors of 60810 are 2, 3, 5, 2027. Prime factorization of 60810 in exponential form is:

60810 = 2¹ × 3¹ × 5¹ × 2027¹

Step-3: Factors of 60800

List of positive integer factors of 60800 that divides 60800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76, 80, 95, 100, 128, 152, 160, 190, 200, 304, 320, 380, 400, 475, 608, 640, 760, 800, 950, 1216, 1520, 1600, 1900, 2432, 3040, 3200, 3800, 6080, 7600, 12160, 15200, 30400

Step-4: Factors of 60810

List of positive integer factors of 60810 that divides 60800 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2027, 4054, 6081, 10135, 12162, 20270, 30405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60800 and 60810. The biggest common factor number is the GCF number.
So the greatest common factor 60800 and 60810 is 10.

Also check out the Least Common Multiple of 60800 and 60810