What is the Greatest Common Factor of 81507 and 81516?

Greatest common factor (GCF) of 81507 and 81516 is 3.

GCF(81507,81516) = 3

We will now calculate the prime factors of 81507 and 81516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81507 and 81516.

How to find the GCF of 81507 and 81516?

We will first find the prime factorization of 81507 and 81516. After we will calculate the factors of 81507 and 81516 and find the biggest common factor number .

Step-1: Prime Factorization of 81507

Prime factors of 81507 are 3, 101, 269. Prime factorization of 81507 in exponential form is:

81507 = 3¹ × 101¹ × 269¹

Step-2: Prime Factorization of 81516

Prime factors of 81516 are 2, 3, 6793. Prime factorization of 81516 in exponential form is:

81516 = 2² × 3¹ × 6793¹

Step-3: Factors of 81507

List of positive integer factors of 81507 that divides 81507 without a remainder.

1, 3, 101, 269, 303, 807, 27169

Step-4: Factors of 81516

List of positive integer factors of 81516 that divides 81507 without a remainder.

1, 2, 3, 4, 6, 12, 6793, 13586, 20379, 27172, 40758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81507 and 81516. The biggest common factor number is the GCF number.
So the greatest common factor 81507 and 81516 is 3.

Also check out the Least Common Multiple of 81507 and 81516