What is the Greatest Common Factor of 77463 and 77478?

Greatest common factor (GCF) of 77463 and 77478 is 3.

GCF(77463,77478) = 3

We will now calculate the prime factors of 77463 and 77478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77463 and 77478.

How to find the GCF of 77463 and 77478?

We will first find the prime factorization of 77463 and 77478. After we will calculate the factors of 77463 and 77478 and find the biggest common factor number .

Step-1: Prime Factorization of 77463

Prime factors of 77463 are 3, 19, 151. Prime factorization of 77463 in exponential form is:

77463 = 3³ × 19¹ × 151¹

Step-2: Prime Factorization of 77478

Prime factors of 77478 are 2, 3, 37, 349. Prime factorization of 77478 in exponential form is:

77478 = 2¹ × 3¹ × 37¹ × 349¹

Step-3: Factors of 77463

List of positive integer factors of 77463 that divides 77463 without a remainder.

1, 3, 9, 19, 27, 57, 151, 171, 453, 513, 1359, 2869, 4077, 8607, 25821

Step-4: Factors of 77478

List of positive integer factors of 77478 that divides 77463 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 349, 698, 1047, 2094, 12913, 25826, 38739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77463 and 77478. The biggest common factor number is the GCF number.
So the greatest common factor 77463 and 77478 is 3.

Also check out the Least Common Multiple of 77463 and 77478