What is the Greatest Common Factor of 68208 and 68225?

Greatest common factor (GCF) of 68208 and 68225 is 1.

GCF(68208,68225) = 1

We will now calculate the prime factors of 68208 and 68225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68208 and 68225.

How to find the GCF of 68208 and 68225?

We will first find the prime factorization of 68208 and 68225. After we will calculate the factors of 68208 and 68225 and find the biggest common factor number .

Step-1: Prime Factorization of 68208

Prime factors of 68208 are 2, 3, 7, 29. Prime factorization of 68208 in exponential form is:

68208 = 2⁴ × 3¹ × 7² × 29¹

Step-2: Prime Factorization of 68225

Prime factors of 68225 are 5, 2729. Prime factorization of 68225 in exponential form is:

68225 = 5² × 2729¹

Step-3: Factors of 68208

List of positive integer factors of 68208 that divides 68208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 49, 56, 58, 84, 87, 98, 112, 116, 147, 168, 174, 196, 203, 232, 294, 336, 348, 392, 406, 464, 588, 609, 696, 784, 812, 1176, 1218, 1392, 1421, 1624, 2352, 2436, 2842, 3248, 4263, 4872, 5684, 8526, 9744, 11368, 17052, 22736, 34104

Step-4: Factors of 68225

List of positive integer factors of 68225 that divides 68208 without a remainder.

1, 5, 25, 2729, 13645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68208 and 68225. The biggest common factor number is the GCF number.
So the greatest common factor 68208 and 68225 is 1.

Also check out the Least Common Multiple of 68208 and 68225