What is the Greatest Common Factor of 84462 and 84472?

Greatest common factor (GCF) of 84462 and 84472 is 2.

GCF(84462,84472) = 2

We will now calculate the prime factors of 84462 and 84472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84462 and 84472.

How to find the GCF of 84462 and 84472?

We will first find the prime factorization of 84462 and 84472. After we will calculate the factors of 84462 and 84472 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 84472

Prime factors of 84472 are 2, 10559. Prime factorization of 84472 in exponential form is:

84472 = 2³ × 10559¹

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 84472

List of positive integer factors of 84472 that divides 84462 without a remainder.

1, 2, 4, 8, 10559, 21118, 42236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84462 and 84472. The biggest common factor number is the GCF number.
So the greatest common factor 84462 and 84472 is 2.

Also check out the Least Common Multiple of 84462 and 84472