What is the Greatest Common Factor of 76525 and 76533?

Greatest common factor (GCF) of 76525 and 76533 is 1.

GCF(76525,76533) = 1

We will now calculate the prime factors of 76525 and 76533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76525 and 76533.

How to find the GCF of 76525 and 76533?

We will first find the prime factorization of 76525 and 76533. After we will calculate the factors of 76525 and 76533 and find the biggest common factor number .

Step-1: Prime Factorization of 76525

Prime factors of 76525 are 5, 3061. Prime factorization of 76525 in exponential form is:

76525 = 5² × 3061¹

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 76525

List of positive integer factors of 76525 that divides 76525 without a remainder.

1, 5, 25, 3061, 15305

Step-4: Factors of 76533

List of positive integer factors of 76533 that divides 76525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76525 and 76533. The biggest common factor number is the GCF number.
So the greatest common factor 76525 and 76533 is 1.

Also check out the Least Common Multiple of 76525 and 76533