What is the Greatest Common Factor of 76529 and 76533?

Greatest common factor (GCF) of 76529 and 76533 is 1.

GCF(76529,76533) = 1

We will now calculate the prime factors of 76529 and 76533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76529 and 76533.

How to find the GCF of 76529 and 76533?

We will first find the prime factorization of 76529 and 76533. After we will calculate the factors of 76529 and 76533 and find the biggest common factor number .

Step-1: Prime Factorization of 76529

Prime factors of 76529 are 103, 743. Prime factorization of 76529 in exponential form is:

76529 = 103¹ × 743¹

Step-2: Prime Factorization of 76533

Prime factors of 76533 are 3, 97, 263. Prime factorization of 76533 in exponential form is:

76533 = 3¹ × 97¹ × 263¹

Step-3: Factors of 76529

List of positive integer factors of 76529 that divides 76529 without a remainder.

1, 103, 743

Step-4: Factors of 76533

List of positive integer factors of 76533 that divides 76529 without a remainder.

1, 3, 97, 263, 291, 789, 25511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76529 and 76533. The biggest common factor number is the GCF number.
So the greatest common factor 76529 and 76533 is 1.

Also check out the Least Common Multiple of 76529 and 76533