What is the Greatest Common Factor of 84462 and 84476?

Greatest common factor (GCF) of 84462 and 84476 is 14.

GCF(84462,84476) = 14

We will now calculate the prime factors of 84462 and 84476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84462 and 84476.

How to find the GCF of 84462 and 84476?

We will first find the prime factorization of 84462 and 84476. After we will calculate the factors of 84462 and 84476 and find the biggest common factor number .

Step-1: Prime Factorization of 84462

Prime factors of 84462 are 2, 3, 7, 2011. Prime factorization of 84462 in exponential form is:

84462 = 2¹ × 3¹ × 7¹ × 2011¹

Step-2: Prime Factorization of 84476

Prime factors of 84476 are 2, 7, 431. Prime factorization of 84476 in exponential form is:

84476 = 2² × 7² × 431¹

Step-3: Factors of 84462

List of positive integer factors of 84462 that divides 84462 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2011, 4022, 6033, 12066, 14077, 28154, 42231

Step-4: Factors of 84476

List of positive integer factors of 84476 that divides 84462 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 431, 862, 1724, 3017, 6034, 12068, 21119, 42238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84462 and 84476. The biggest common factor number is the GCF number.
So the greatest common factor 84462 and 84476 is 14.

Also check out the Least Common Multiple of 84462 and 84476