What is the Greatest Common Factor of 81666 and 81670?

Greatest common factor (GCF) of 81666 and 81670 is 2.

GCF(81666,81670) = 2

We will now calculate the prime factors of 81666 and 81670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81666 and 81670.

How to find the GCF of 81666 and 81670?

We will first find the prime factorization of 81666 and 81670. After we will calculate the factors of 81666 and 81670 and find the biggest common factor number .

Step-1: Prime Factorization of 81666

Prime factors of 81666 are 2, 3, 13, 349. Prime factorization of 81666 in exponential form is:

81666 = 2¹ × 3² × 13¹ × 349¹

Step-2: Prime Factorization of 81670

Prime factors of 81670 are 2, 5, 8167. Prime factorization of 81670 in exponential form is:

81670 = 2¹ × 5¹ × 8167¹

Step-3: Factors of 81666

List of positive integer factors of 81666 that divides 81666 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 349, 698, 1047, 2094, 3141, 4537, 6282, 9074, 13611, 27222, 40833

Step-4: Factors of 81670

List of positive integer factors of 81670 that divides 81666 without a remainder.

1, 2, 5, 10, 8167, 16334, 40835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81666 and 81670. The biggest common factor number is the GCF number.
So the greatest common factor 81666 and 81670 is 2.

Also check out the Least Common Multiple of 81666 and 81670