What is the Greatest Common Factor of 77535 and 77547?

Greatest common factor (GCF) of 77535 and 77547 is 3.

GCF(77535,77547) = 3

We will now calculate the prime factors of 77535 and 77547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77535 and 77547.

How to find the GCF of 77535 and 77547?

We will first find the prime factorization of 77535 and 77547. After we will calculate the factors of 77535 and 77547 and find the biggest common factor number .

Step-1: Prime Factorization of 77535

Prime factors of 77535 are 3, 5, 1723. Prime factorization of 77535 in exponential form is:

77535 = 3² × 5¹ × 1723¹

Step-2: Prime Factorization of 77547

Prime factors of 77547 are 3, 25849. Prime factorization of 77547 in exponential form is:

77547 = 3¹ × 25849¹

Step-3: Factors of 77535

List of positive integer factors of 77535 that divides 77535 without a remainder.

1, 3, 5, 9, 15, 45, 1723, 5169, 8615, 15507, 25845

Step-4: Factors of 77547

List of positive integer factors of 77547 that divides 77535 without a remainder.

1, 3, 25849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77535 and 77547. The biggest common factor number is the GCF number.
So the greatest common factor 77535 and 77547 is 3.

Also check out the Least Common Multiple of 77535 and 77547