What is the Greatest Common Factor of 84014 and 84032?

Greatest common factor (GCF) of 84014 and 84032 is 2.

GCF(84014,84032) = 2

We will now calculate the prime factors of 84014 and 84032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84014 and 84032.

How to find the GCF of 84014 and 84032?

We will first find the prime factorization of 84014 and 84032. After we will calculate the factors of 84014 and 84032 and find the biggest common factor number .

Step-1: Prime Factorization of 84014

Prime factors of 84014 are 2, 7, 17, 353. Prime factorization of 84014 in exponential form is:

84014 = 2¹ × 7¹ × 17¹ × 353¹

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 84014

List of positive integer factors of 84014 that divides 84014 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 353, 706, 2471, 4942, 6001, 12002, 42007

Step-4: Factors of 84032

List of positive integer factors of 84032 that divides 84014 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 84014 and 84032. The biggest common factor number is the GCF number.
So the greatest common factor 84014 and 84032 is 2.

Also check out the Least Common Multiple of 84014 and 84032