What is the Greatest Common Factor of 68288 and 68300?

Greatest common factor (GCF) of 68288 and 68300 is 4.

GCF(68288,68300) = 4

We will now calculate the prime factors of 68288 and 68300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68288 and 68300.

How to find the GCF of 68288 and 68300?

We will first find the prime factorization of 68288 and 68300. After we will calculate the factors of 68288 and 68300 and find the biggest common factor number .

Step-1: Prime Factorization of 68288

Prime factors of 68288 are 2, 11, 97. Prime factorization of 68288 in exponential form is:

68288 = 2⁶ × 11¹ × 97¹

Step-2: Prime Factorization of 68300

Prime factors of 68300 are 2, 5, 683. Prime factorization of 68300 in exponential form is:

68300 = 2² × 5² × 683¹

Step-3: Factors of 68288

List of positive integer factors of 68288 that divides 68288 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 97, 176, 194, 352, 388, 704, 776, 1067, 1552, 2134, 3104, 4268, 6208, 8536, 17072, 34144

Step-4: Factors of 68300

List of positive integer factors of 68300 that divides 68288 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 683, 1366, 2732, 3415, 6830, 13660, 17075, 34150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68288 and 68300. The biggest common factor number is the GCF number.
So the greatest common factor 68288 and 68300 is 4.

Also check out the Least Common Multiple of 68288 and 68300