What is the Greatest Common Factor of 77439 and 77448?

Greatest common factor (GCF) of 77439 and 77448 is 3.

GCF(77439,77448) = 3

We will now calculate the prime factors of 77439 and 77448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77439 and 77448.

How to find the GCF of 77439 and 77448?

We will first find the prime factorization of 77439 and 77448. After we will calculate the factors of 77439 and 77448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77448

Prime factors of 77448 are 2, 3, 7, 461. Prime factorization of 77448 in exponential form is:

77448 = 2³ × 3¹ × 7¹ × 461¹

Step-3: Factors of 77439

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

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

Step-4: Factors of 77448

List of positive integer factors of 77448 that divides 77439 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 461, 922, 1383, 1844, 2766, 3227, 3688, 5532, 6454, 9681, 11064, 12908, 19362, 25816, 38724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77439 and 77448. The biggest common factor number is the GCF number.
So the greatest common factor 77439 and 77448 is 3.

Also check out the Least Common Multiple of 77439 and 77448