What is the Greatest Common Factor of 77487 and 77498?

Greatest common factor (GCF) of 77487 and 77498 is 1.

GCF(77487,77498) = 1

We will now calculate the prime factors of 77487 and 77498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77487 and 77498.

How to find the GCF of 77487 and 77498?

We will first find the prime factorization of 77487 and 77498. After we will calculate the factors of 77487 and 77498 and find the biggest common factor number .

Step-1: Prime Factorization of 77487

Prime factors of 77487 are 3, 23, 1123. Prime factorization of 77487 in exponential form is:

77487 = 3¹ × 23¹ × 1123¹

Step-2: Prime Factorization of 77498

Prime factors of 77498 are 2, 38749. Prime factorization of 77498 in exponential form is:

77498 = 2¹ × 38749¹

Step-3: Factors of 77487

List of positive integer factors of 77487 that divides 77487 without a remainder.

1, 3, 23, 69, 1123, 3369, 25829

Step-4: Factors of 77498

List of positive integer factors of 77498 that divides 77487 without a remainder.

1, 2, 38749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77487 and 77498. The biggest common factor number is the GCF number.
So the greatest common factor 77487 and 77498 is 1.

Also check out the Least Common Multiple of 77487 and 77498