What is the Greatest Common Factor of 82854 and 82874?

Greatest common factor (GCF) of 82854 and 82874 is 2.

GCF(82854,82874) = 2

We will now calculate the prime factors of 82854 and 82874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82854 and 82874.

How to find the GCF of 82854 and 82874?

We will first find the prime factorization of 82854 and 82874. After we will calculate the factors of 82854 and 82874 and find the biggest common factor number .

Step-1: Prime Factorization of 82854

Prime factors of 82854 are 2, 3, 4603. Prime factorization of 82854 in exponential form is:

82854 = 2¹ × 3² × 4603¹

Step-2: Prime Factorization of 82874

Prime factors of 82874 are 2, 11, 3767. Prime factorization of 82874 in exponential form is:

82874 = 2¹ × 11¹ × 3767¹

Step-3: Factors of 82854

List of positive integer factors of 82854 that divides 82854 without a remainder.

1, 2, 3, 6, 9, 18, 4603, 9206, 13809, 27618, 41427

Step-4: Factors of 82874

List of positive integer factors of 82874 that divides 82854 without a remainder.

1, 2, 11, 22, 3767, 7534, 41437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82854 and 82874. The biggest common factor number is the GCF number.
So the greatest common factor 82854 and 82874 is 2.

Also check out the Least Common Multiple of 82854 and 82874