What is the Greatest Common Factor of 77484 and 77497?

Greatest common factor (GCF) of 77484 and 77497 is 1.

GCF(77484,77497) = 1

We will now calculate the prime factors of 77484 and 77497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77484 and 77497.

How to find the GCF of 77484 and 77497?

We will first find the prime factorization of 77484 and 77497. After we will calculate the factors of 77484 and 77497 and find the biggest common factor number .

Step-1: Prime Factorization of 77484

Prime factors of 77484 are 2, 3, 11, 587. Prime factorization of 77484 in exponential form is:

77484 = 2² × 3¹ × 11¹ × 587¹

Step-2: Prime Factorization of 77497

Prime factors of 77497 are 7, 11071. Prime factorization of 77497 in exponential form is:

77497 = 7¹ × 11071¹

Step-3: Factors of 77484

List of positive integer factors of 77484 that divides 77484 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348, 3522, 6457, 7044, 12914, 19371, 25828, 38742

Step-4: Factors of 77497

List of positive integer factors of 77497 that divides 77484 without a remainder.

1, 7, 11071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77484 and 77497. The biggest common factor number is the GCF number.
So the greatest common factor 77484 and 77497 is 1.

Also check out the Least Common Multiple of 77484 and 77497