What is the Greatest Common Factor of 68608 and 68625?

Greatest common factor (GCF) of 68608 and 68625 is 1.

GCF(68608,68625) = 1

We will now calculate the prime factors of 68608 and 68625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68608 and 68625.

How to find the GCF of 68608 and 68625?

We will first find the prime factorization of 68608 and 68625. After we will calculate the factors of 68608 and 68625 and find the biggest common factor number .

Step-1: Prime Factorization of 68608

Prime factors of 68608 are 2, 67. Prime factorization of 68608 in exponential form is:

68608 = 2¹⁰ × 67¹

Step-2: Prime Factorization of 68625

Prime factors of 68625 are 3, 5, 61. Prime factorization of 68625 in exponential form is:

68625 = 3² × 5³ × 61¹

Step-3: Factors of 68608

List of positive integer factors of 68608 that divides 68608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 256, 268, 512, 536, 1024, 1072, 2144, 4288, 8576, 17152, 34304

Step-4: Factors of 68625

List of positive integer factors of 68625 that divides 68608 without a remainder.

1, 3, 5, 9, 15, 25, 45, 61, 75, 125, 183, 225, 305, 375, 549, 915, 1125, 1525, 2745, 4575, 7625, 13725, 22875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68608 and 68625. The biggest common factor number is the GCF number.
So the greatest common factor 68608 and 68625 is 1.

Also check out the Least Common Multiple of 68608 and 68625