What is the Greatest Common Factor of 84868 and 84882?

Greatest common factor (GCF) of 84868 and 84882 is 14.

GCF(84868,84882) = 14

We will now calculate the prime factors of 84868 and 84882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84868 and 84882.

How to find the GCF of 84868 and 84882?

We will first find the prime factorization of 84868 and 84882. After we will calculate the factors of 84868 and 84882 and find the biggest common factor number .

Step-1: Prime Factorization of 84868

Prime factors of 84868 are 2, 7, 433. Prime factorization of 84868 in exponential form is:

84868 = 2² × 7² × 433¹

Step-2: Prime Factorization of 84882

Prime factors of 84882 are 2, 3, 7, 43, 47. Prime factorization of 84882 in exponential form is:

84882 = 2¹ × 3¹ × 7¹ × 43¹ × 47¹

Step-3: Factors of 84868

List of positive integer factors of 84868 that divides 84868 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 433, 866, 1732, 3031, 6062, 12124, 21217, 42434

Step-4: Factors of 84882

List of positive integer factors of 84882 that divides 84868 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 47, 86, 94, 129, 141, 258, 282, 301, 329, 602, 658, 903, 987, 1806, 1974, 2021, 4042, 6063, 12126, 14147, 28294, 42441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84868 and 84882. The biggest common factor number is the GCF number.
So the greatest common factor 84868 and 84882 is 14.

Also check out the Least Common Multiple of 84868 and 84882