What is the Greatest Common Factor of 39064 and 39070?

Greatest common factor (GCF) of 39064 and 39070 is 2.

GCF(39064,39070) = 2

We will now calculate the prime factors of 39064 and 39070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39064 and 39070.

How to find the GCF of 39064 and 39070?

We will first find the prime factorization of 39064 and 39070. After we will calculate the factors of 39064 and 39070 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 39070

Prime factors of 39070 are 2, 5, 3907. Prime factorization of 39070 in exponential form is:

39070 = 2¹ × 5¹ × 3907¹

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 39070

List of positive integer factors of 39070 that divides 39064 without a remainder.

1, 2, 5, 10, 3907, 7814, 19535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39064 and 39070. The biggest common factor number is the GCF number.
So the greatest common factor 39064 and 39070 is 2.

Also check out the Least Common Multiple of 39064 and 39070