What is the Greatest Common Factor of 84054 and 84064?

Greatest common factor (GCF) of 84054 and 84064 is 2.

GCF(84054,84064) = 2

We will now calculate the prime factors of 84054 and 84064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84054 and 84064.

How to find the GCF of 84054 and 84064?

We will first find the prime factorization of 84054 and 84064. After we will calculate the factors of 84054 and 84064 and find the biggest common factor number .

Step-1: Prime Factorization of 84054

Prime factors of 84054 are 2, 3, 14009. Prime factorization of 84054 in exponential form is:

84054 = 2¹ × 3¹ × 14009¹

Step-2: Prime Factorization of 84064

Prime factors of 84064 are 2, 37, 71. Prime factorization of 84064 in exponential form is:

84064 = 2⁵ × 37¹ × 71¹

Step-3: Factors of 84054

List of positive integer factors of 84054 that divides 84054 without a remainder.

1, 2, 3, 6, 14009, 28018, 42027

Step-4: Factors of 84064

List of positive integer factors of 84064 that divides 84054 without a remainder.

1, 2, 4, 8, 16, 32, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 1184, 2272, 2627, 5254, 10508, 21016, 42032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84054 and 84064. The biggest common factor number is the GCF number.
So the greatest common factor 84054 and 84064 is 2.

Also check out the Least Common Multiple of 84054 and 84064