What is the Greatest Common Factor of 82888 and 82894?

Greatest common factor (GCF) of 82888 and 82894 is 2.

GCF(82888,82894) = 2

We will now calculate the prime factors of 82888 and 82894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82888 and 82894.

How to find the GCF of 82888 and 82894?

We will first find the prime factorization of 82888 and 82894. After we will calculate the factors of 82888 and 82894 and find the biggest common factor number .

Step-1: Prime Factorization of 82888

Prime factors of 82888 are 2, 13, 797. Prime factorization of 82888 in exponential form is:

82888 = 2³ × 13¹ × 797¹

Step-2: Prime Factorization of 82894

Prime factors of 82894 are 2, 7, 31, 191. Prime factorization of 82894 in exponential form is:

82894 = 2¹ × 7¹ × 31¹ × 191¹

Step-3: Factors of 82888

List of positive integer factors of 82888 that divides 82888 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 797, 1594, 3188, 6376, 10361, 20722, 41444

Step-4: Factors of 82894

List of positive integer factors of 82894 that divides 82888 without a remainder.

1, 2, 7, 14, 31, 62, 191, 217, 382, 434, 1337, 2674, 5921, 11842, 41447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82888 and 82894. The biggest common factor number is the GCF number.
So the greatest common factor 82888 and 82894 is 2.

Also check out the Least Common Multiple of 82888 and 82894