What is the Greatest Common Factor of 82725 and 82731?

Greatest common factor (GCF) of 82725 and 82731 is 3.

GCF(82725,82731) = 3

We will now calculate the prime factors of 82725 and 82731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82725 and 82731.

How to find the GCF of 82725 and 82731?

We will first find the prime factorization of 82725 and 82731. After we will calculate the factors of 82725 and 82731 and find the biggest common factor number .

Step-1: Prime Factorization of 82725

Prime factors of 82725 are 3, 5, 1103. Prime factorization of 82725 in exponential form is:

82725 = 3¹ × 5² × 1103¹

Step-2: Prime Factorization of 82731

Prime factors of 82731 are 3, 11, 23, 109. Prime factorization of 82731 in exponential form is:

82731 = 3¹ × 11¹ × 23¹ × 109¹

Step-3: Factors of 82725

List of positive integer factors of 82725 that divides 82725 without a remainder.

1, 3, 5, 15, 25, 75, 1103, 3309, 5515, 16545, 27575

Step-4: Factors of 82731

List of positive integer factors of 82731 that divides 82725 without a remainder.

1, 3, 11, 23, 33, 69, 109, 253, 327, 759, 1199, 2507, 3597, 7521, 27577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82725 and 82731. The biggest common factor number is the GCF number.
So the greatest common factor 82725 and 82731 is 3.

Also check out the Least Common Multiple of 82725 and 82731