What is the Greatest Common Factor of 84032 and 84038?

Greatest common factor (GCF) of 84032 and 84038 is 2.

GCF(84032,84038) = 2

We will now calculate the prime factors of 84032 and 84038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84032 and 84038.

How to find the GCF of 84032 and 84038?

We will first find the prime factorization of 84032 and 84038. After we will calculate the factors of 84032 and 84038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84038

Prime factors of 84038 are 2, 42019. Prime factorization of 84038 in exponential form is:

84038 = 2¹ × 42019¹

Step-3: Factors of 84032

List of positive integer factors of 84032 that divides 84032 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

Step-4: Factors of 84038

List of positive integer factors of 84038 that divides 84032 without a remainder.

1, 2, 42019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84032 and 84038. The biggest common factor number is the GCF number.
So the greatest common factor 84032 and 84038 is 2.

Also check out the Least Common Multiple of 84032 and 84038