What is the Greatest Common Factor of 83064 and 83078?

Greatest common factor (GCF) of 83064 and 83078 is 2.

GCF(83064,83078) = 2

We will now calculate the prime factors of 83064 and 83078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83064 and 83078.

How to find the GCF of 83064 and 83078?

We will first find the prime factorization of 83064 and 83078. After we will calculate the factors of 83064 and 83078 and find the biggest common factor number .

Step-1: Prime Factorization of 83064

Prime factors of 83064 are 2, 3, 3461. Prime factorization of 83064 in exponential form is:

83064 = 2³ × 3¹ × 3461¹

Step-2: Prime Factorization of 83078

Prime factors of 83078 are 2, 41539. Prime factorization of 83078 in exponential form is:

83078 = 2¹ × 41539¹

Step-3: Factors of 83064

List of positive integer factors of 83064 that divides 83064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3461, 6922, 10383, 13844, 20766, 27688, 41532

Step-4: Factors of 83078

List of positive integer factors of 83078 that divides 83064 without a remainder.

1, 2, 41539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83064 and 83078. The biggest common factor number is the GCF number.
So the greatest common factor 83064 and 83078 is 2.

Also check out the Least Common Multiple of 83064 and 83078