What is the Greatest Common Factor of 81140 and 81146?

Greatest common factor (GCF) of 81140 and 81146 is 2.

GCF(81140,81146) = 2

We will now calculate the prime factors of 81140 and 81146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81140 and 81146.

How to find the GCF of 81140 and 81146?

We will first find the prime factorization of 81140 and 81146. After we will calculate the factors of 81140 and 81146 and find the biggest common factor number .

Step-1: Prime Factorization of 81140

Prime factors of 81140 are 2, 5, 4057. Prime factorization of 81140 in exponential form is:

81140 = 2² × 5¹ × 4057¹

Step-2: Prime Factorization of 81146

Prime factors of 81146 are 2, 13, 3121. Prime factorization of 81146 in exponential form is:

81146 = 2¹ × 13¹ × 3121¹

Step-3: Factors of 81140

List of positive integer factors of 81140 that divides 81140 without a remainder.

1, 2, 4, 5, 10, 20, 4057, 8114, 16228, 20285, 40570

Step-4: Factors of 81146

List of positive integer factors of 81146 that divides 81140 without a remainder.

1, 2, 13, 26, 3121, 6242, 40573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81140 and 81146. The biggest common factor number is the GCF number.
So the greatest common factor 81140 and 81146 is 2.

Also check out the Least Common Multiple of 81140 and 81146