What is the Greatest Common Factor of 81142 and 81156?

Greatest common factor (GCF) of 81142 and 81156 is 2.

GCF(81142,81156) = 2

We will now calculate the prime factors of 81142 and 81156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81142 and 81156.

How to find the GCF of 81142 and 81156?

We will first find the prime factorization of 81142 and 81156. After we will calculate the factors of 81142 and 81156 and find the biggest common factor number .

Step-1: Prime Factorization of 81142

Prime factors of 81142 are 2, 29, 1399. Prime factorization of 81142 in exponential form is:

81142 = 2¹ × 29¹ × 1399¹

Step-2: Prime Factorization of 81156

Prime factors of 81156 are 2, 3, 6763. Prime factorization of 81156 in exponential form is:

81156 = 2² × 3¹ × 6763¹

Step-3: Factors of 81142

List of positive integer factors of 81142 that divides 81142 without a remainder.

1, 2, 29, 58, 1399, 2798, 40571

Step-4: Factors of 81156

List of positive integer factors of 81156 that divides 81142 without a remainder.

1, 2, 3, 4, 6, 12, 6763, 13526, 20289, 27052, 40578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81142 and 81156. The biggest common factor number is the GCF number.
So the greatest common factor 81142 and 81156 is 2.

Also check out the Least Common Multiple of 81142 and 81156