What is the Greatest Common Factor of 67296 and 67300?

Greatest common factor (GCF) of 67296 and 67300 is 4.

GCF(67296,67300) = 4

We will now calculate the prime factors of 67296 and 67300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67296 and 67300.

How to find the GCF of 67296 and 67300?

We will first find the prime factorization of 67296 and 67300. After we will calculate the factors of 67296 and 67300 and find the biggest common factor number .

Step-1: Prime Factorization of 67296

Prime factors of 67296 are 2, 3, 701. Prime factorization of 67296 in exponential form is:

67296 = 2⁵ × 3¹ × 701¹

Step-2: Prime Factorization of 67300

Prime factors of 67300 are 2, 5, 673. Prime factorization of 67300 in exponential form is:

67300 = 2² × 5² × 673¹

Step-3: Factors of 67296

List of positive integer factors of 67296 that divides 67296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 701, 1402, 2103, 2804, 4206, 5608, 8412, 11216, 16824, 22432, 33648

Step-4: Factors of 67300

List of positive integer factors of 67300 that divides 67296 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 673, 1346, 2692, 3365, 6730, 13460, 16825, 33650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67296 and 67300. The biggest common factor number is the GCF number.
So the greatest common factor 67296 and 67300 is 4.

Also check out the Least Common Multiple of 67296 and 67300