What is the Greatest Common Factor of 84032 and 84036?

Greatest common factor (GCF) of 84032 and 84036 is 4.

GCF(84032,84036) = 4

We will now calculate the prime factors of 84032 and 84036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84032 and 84036.

How to find the GCF of 84032 and 84036?

We will first find the prime factorization of 84032 and 84036. After we will calculate the factors of 84032 and 84036 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 84036

Prime factors of 84036 are 2, 3, 47, 149. Prime factorization of 84036 in exponential form is:

84036 = 2² × 3¹ × 47¹ × 149¹

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 84036

List of positive integer factors of 84036 that divides 84032 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 149, 188, 282, 298, 447, 564, 596, 894, 1788, 7003, 14006, 21009, 28012, 42018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84032 and 84036. The biggest common factor number is the GCF number.
So the greatest common factor 84032 and 84036 is 4.

Also check out the Least Common Multiple of 84032 and 84036