What is the Greatest Common Factor of 39064 and 39068?

Greatest common factor (GCF) of 39064 and 39068 is 4.

GCF(39064,39068) = 4

We will now calculate the prime factors of 39064 and 39068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39064 and 39068.

How to find the GCF of 39064 and 39068?

We will first find the prime factorization of 39064 and 39068. After we will calculate the factors of 39064 and 39068 and find the biggest common factor number .

Step-1: Prime Factorization of 39064

Prime factors of 39064 are 2, 19, 257. Prime factorization of 39064 in exponential form is:

39064 = 2³ × 19¹ × 257¹

Step-2: Prime Factorization of 39068

Prime factors of 39068 are 2, 9767. Prime factorization of 39068 in exponential form is:

39068 = 2² × 9767¹

Step-3: Factors of 39064

List of positive integer factors of 39064 that divides 39064 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 257, 514, 1028, 2056, 4883, 9766, 19532

Step-4: Factors of 39068

List of positive integer factors of 39068 that divides 39064 without a remainder.

1, 2, 4, 9767, 19534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39064 and 39068. The biggest common factor number is the GCF number.
So the greatest common factor 39064 and 39068 is 4.

Also check out the Least Common Multiple of 39064 and 39068