What is the Greatest Common Factor of 68700 and 68704?

Greatest common factor (GCF) of 68700 and 68704 is 4.

GCF(68700,68704) = 4

We will now calculate the prime factors of 68700 and 68704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68700 and 68704.

How to find the GCF of 68700 and 68704?

We will first find the prime factorization of 68700 and 68704. After we will calculate the factors of 68700 and 68704 and find the biggest common factor number .

Step-1: Prime Factorization of 68700

Prime factors of 68700 are 2, 3, 5, 229. Prime factorization of 68700 in exponential form is:

68700 = 2² × 3¹ × 5² × 229¹

Step-2: Prime Factorization of 68704

Prime factors of 68704 are 2, 19, 113. Prime factorization of 68704 in exponential form is:

68704 = 2⁵ × 19¹ × 113¹

Step-3: Factors of 68700

List of positive integer factors of 68700 that divides 68700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 229, 300, 458, 687, 916, 1145, 1374, 2290, 2748, 3435, 4580, 5725, 6870, 11450, 13740, 17175, 22900, 34350

Step-4: Factors of 68704

List of positive integer factors of 68704 that divides 68700 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 113, 152, 226, 304, 452, 608, 904, 1808, 2147, 3616, 4294, 8588, 17176, 34352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68700 and 68704. The biggest common factor number is the GCF number.
So the greatest common factor 68700 and 68704 is 4.

Also check out the Least Common Multiple of 68700 and 68704