What is the Greatest Common Factor of 68000 and 68010?

Greatest common factor (GCF) of 68000 and 68010 is 10.

GCF(68000,68010) = 10

We will now calculate the prime factors of 68000 and 68010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68000 and 68010.

How to find the GCF of 68000 and 68010?

We will first find the prime factorization of 68000 and 68010. After we will calculate the factors of 68000 and 68010 and find the biggest common factor number .

Step-1: Prime Factorization of 68000

Prime factors of 68000 are 2, 5, 17. Prime factorization of 68000 in exponential form is:

68000 = 2⁵ × 5³ × 17¹

Step-2: Prime Factorization of 68010

Prime factors of 68010 are 2, 3, 5, 2267. Prime factorization of 68010 in exponential form is:

68010 = 2¹ × 3¹ × 5¹ × 2267¹

Step-3: Factors of 68000

List of positive integer factors of 68000 that divides 68000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 125, 136, 160, 170, 200, 250, 272, 340, 400, 425, 500, 544, 680, 800, 850, 1000, 1360, 1700, 2000, 2125, 2720, 3400, 4000, 4250, 6800, 8500, 13600, 17000, 34000

Step-4: Factors of 68010

List of positive integer factors of 68010 that divides 68000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2267, 4534, 6801, 11335, 13602, 22670, 34005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68000 and 68010. The biggest common factor number is the GCF number.
So the greatest common factor 68000 and 68010 is 10.

Also check out the Least Common Multiple of 68000 and 68010