What is the Greatest Common Factor of 77268 and 77288?

Greatest common factor (GCF) of 77268 and 77288 is 4.

GCF(77268,77288) = 4

We will now calculate the prime factors of 77268 and 77288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77268 and 77288.

How to find the GCF of 77268 and 77288?

We will first find the prime factorization of 77268 and 77288. After we will calculate the factors of 77268 and 77288 and find the biggest common factor number .

Step-1: Prime Factorization of 77268

Prime factors of 77268 are 2, 3, 47, 137. Prime factorization of 77268 in exponential form is:

77268 = 2² × 3¹ × 47¹ × 137¹

Step-2: Prime Factorization of 77288

Prime factors of 77288 are 2, 9661. Prime factorization of 77288 in exponential form is:

77288 = 2³ × 9661¹

Step-3: Factors of 77268

List of positive integer factors of 77268 that divides 77268 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 137, 141, 188, 274, 282, 411, 548, 564, 822, 1644, 6439, 12878, 19317, 25756, 38634

Step-4: Factors of 77288

List of positive integer factors of 77288 that divides 77268 without a remainder.

1, 2, 4, 8, 9661, 19322, 38644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77268 and 77288. The biggest common factor number is the GCF number.
So the greatest common factor 77268 and 77288 is 4.

Also check out the Least Common Multiple of 77268 and 77288