What is the Greatest Common Factor of 67000 and 67010?

Greatest common factor (GCF) of 67000 and 67010 is 10.

GCF(67000,67010) = 10

We will now calculate the prime factors of 67000 and 67010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67010.

How to find the GCF of 67000 and 67010?

We will first find the prime factorization of 67000 and 67010. After we will calculate the factors of 67000 and 67010 and find the biggest common factor number .

Step-1: Prime Factorization of 67000

Prime factors of 67000 are 2, 5, 67. Prime factorization of 67000 in exponential form is:

67000 = 2³ × 5³ × 67¹

Step-2: Prime Factorization of 67010

Prime factors of 67010 are 2, 5, 6701. Prime factorization of 67010 in exponential form is:

67010 = 2¹ × 5¹ × 6701¹

Step-3: Factors of 67000

List of positive integer factors of 67000 that divides 67000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250, 268, 335, 500, 536, 670, 1000, 1340, 1675, 2680, 3350, 6700, 8375, 13400, 16750, 33500

Step-4: Factors of 67010

List of positive integer factors of 67010 that divides 67000 without a remainder.

1, 2, 5, 10, 6701, 13402, 33505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67000 and 67010. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67010 is 10.

Also check out the Least Common Multiple of 67000 and 67010