What is the Greatest Common Factor of 77424 and 77439?

Greatest common factor (GCF) of 77424 and 77439 is 3.

GCF(77424,77439) = 3

We will now calculate the prime factors of 77424 and 77439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77424 and 77439.

How to find the GCF of 77424 and 77439?

We will first find the prime factorization of 77424 and 77439. After we will calculate the factors of 77424 and 77439 and find the biggest common factor number .

Step-1: Prime Factorization of 77424

Prime factors of 77424 are 2, 3, 1613. Prime factorization of 77424 in exponential form is:

77424 = 2⁴ × 3¹ × 1613¹

Step-2: Prime Factorization of 77439

Prime factors of 77439 are 3, 83, 311. Prime factorization of 77439 in exponential form is:

77439 = 3¹ × 83¹ × 311¹

Step-3: Factors of 77424

List of positive integer factors of 77424 that divides 77424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1613, 3226, 4839, 6452, 9678, 12904, 19356, 25808, 38712

Step-4: Factors of 77439

List of positive integer factors of 77439 that divides 77424 without a remainder.

1, 3, 83, 249, 311, 933, 25813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77424 and 77439. The biggest common factor number is the GCF number.
So the greatest common factor 77424 and 77439 is 3.

Also check out the Least Common Multiple of 77424 and 77439