What is the Greatest Common Factor of 77463 and 77482?

Greatest common factor (GCF) of 77463 and 77482 is 19.

GCF(77463,77482) = 19

We will now calculate the prime factors of 77463 and 77482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77463 and 77482.

How to find the GCF of 77463 and 77482?

We will first find the prime factorization of 77463 and 77482. After we will calculate the factors of 77463 and 77482 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 77482

Prime factors of 77482 are 2, 19, 2039. Prime factorization of 77482 in exponential form is:

77482 = 2¹ × 19¹ × 2039¹

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 77482

List of positive integer factors of 77482 that divides 77463 without a remainder.

1, 2, 19, 38, 2039, 4078, 38741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77463 and 77482. The biggest common factor number is the GCF number.
So the greatest common factor 77463 and 77482 is 19.

Also check out the Least Common Multiple of 77463 and 77482