What is the Greatest Common Factor of 77421 and 77439?

Greatest common factor (GCF) of 77421 and 77439 is 3.

GCF(77421,77439) = 3

We will now calculate the prime factors of 77421 and 77439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77421 and 77439.

How to find the GCF of 77421 and 77439?

We will first find the prime factorization of 77421 and 77439. After we will calculate the factors of 77421 and 77439 and find the biggest common factor number .

Step-1: Prime Factorization of 77421

Prime factors of 77421 are 3, 131, 197. Prime factorization of 77421 in exponential form is:

77421 = 3¹ × 131¹ × 197¹

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 77421

List of positive integer factors of 77421 that divides 77421 without a remainder.

1, 3, 131, 197, 393, 591, 25807

Step-4: Factors of 77439

List of positive integer factors of 77439 that divides 77421 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77421 and 77439. The biggest common factor number is the GCF number.
So the greatest common factor 77421 and 77439 is 3.

Also check out the Least Common Multiple of 77421 and 77439