What is the Greatest Common Factor of 67810 and 67820?

Greatest common factor (GCF) of 67810 and 67820 is 10.

GCF(67810,67820) = 10

We will now calculate the prime factors of 67810 and 67820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67810 and 67820.

How to find the GCF of 67810 and 67820?

We will first find the prime factorization of 67810 and 67820. After we will calculate the factors of 67810 and 67820 and find the biggest common factor number .

Step-1: Prime Factorization of 67810

Prime factors of 67810 are 2, 5, 6781. Prime factorization of 67810 in exponential form is:

67810 = 2¹ × 5¹ × 6781¹

Step-2: Prime Factorization of 67820

Prime factors of 67820 are 2, 5, 3391. Prime factorization of 67820 in exponential form is:

67820 = 2² × 5¹ × 3391¹

Step-3: Factors of 67810

List of positive integer factors of 67810 that divides 67810 without a remainder.

1, 2, 5, 10, 6781, 13562, 33905

Step-4: Factors of 67820

List of positive integer factors of 67820 that divides 67810 without a remainder.

1, 2, 4, 5, 10, 20, 3391, 6782, 13564, 16955, 33910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67810 and 67820. The biggest common factor number is the GCF number.
So the greatest common factor 67810 and 67820 is 10.

Also check out the Least Common Multiple of 67810 and 67820