What is the Greatest Common Factor of 84019 and 84032?

Greatest common factor (GCF) of 84019 and 84032 is 13.

GCF(84019,84032) = 13

We will now calculate the prime factors of 84019 and 84032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84019 and 84032.

How to find the GCF of 84019 and 84032?

We will first find the prime factorization of 84019 and 84032. After we will calculate the factors of 84019 and 84032 and find the biggest common factor number .

Step-1: Prime Factorization of 84019

Prime factors of 84019 are 13, 23, 281. Prime factorization of 84019 in exponential form is:

84019 = 13¹ × 23¹ × 281¹

Step-2: Prime Factorization of 84032

Prime factors of 84032 are 2, 13, 101. Prime factorization of 84032 in exponential form is:

84032 = 2⁶ × 13¹ × 101¹

Step-3: Factors of 84019

List of positive integer factors of 84019 that divides 84019 without a remainder.

1, 13, 23, 281, 299, 3653, 6463

Step-4: Factors of 84032

List of positive integer factors of 84032 that divides 84019 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 101, 104, 202, 208, 404, 416, 808, 832, 1313, 1616, 2626, 3232, 5252, 6464, 10504, 21008, 42016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84019 and 84032. The biggest common factor number is the GCF number.
So the greatest common factor 84019 and 84032 is 13.

Also check out the Least Common Multiple of 84019 and 84032