What is the Greatest Common Factor of 77523 and 77533?

Greatest common factor (GCF) of 77523 and 77533 is 1.

GCF(77523,77533) = 1

We will now calculate the prime factors of 77523 and 77533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77523 and 77533.

How to find the GCF of 77523 and 77533?

We will first find the prime factorization of 77523 and 77533. After we will calculate the factors of 77523 and 77533 and find the biggest common factor number .

Step-1: Prime Factorization of 77523

Prime factors of 77523 are 3, 25841. Prime factorization of 77523 in exponential form is:

77523 = 3¹ × 25841¹

Step-2: Prime Factorization of 77533

Prime factors of 77533 are 23, 3371. Prime factorization of 77533 in exponential form is:

77533 = 23¹ × 3371¹

Step-3: Factors of 77523

List of positive integer factors of 77523 that divides 77523 without a remainder.

1, 3, 25841

Step-4: Factors of 77533

List of positive integer factors of 77533 that divides 77523 without a remainder.

1, 23, 3371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77523 and 77533. The biggest common factor number is the GCF number.
So the greatest common factor 77523 and 77533 is 1.

Also check out the Least Common Multiple of 77523 and 77533