What is the Greatest Common Factor of 70064 and 70071?

Greatest common factor (GCF) of 70064 and 70071 is 1.

GCF(70064,70071) = 1

We will now calculate the prime factors of 70064 and 70071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70064 and 70071.

How to find the GCF of 70064 and 70071?

We will first find the prime factorization of 70064 and 70071. After we will calculate the factors of 70064 and 70071 and find the biggest common factor number .

Step-1: Prime Factorization of 70064

Prime factors of 70064 are 2, 29, 151. Prime factorization of 70064 in exponential form is:

70064 = 2⁴ × 29¹ × 151¹

Step-2: Prime Factorization of 70071

Prime factors of 70071 are 3, 23357. Prime factorization of 70071 in exponential form is:

70071 = 3¹ × 23357¹

Step-3: Factors of 70064

List of positive integer factors of 70064 that divides 70064 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 151, 232, 302, 464, 604, 1208, 2416, 4379, 8758, 17516, 35032

Step-4: Factors of 70071

List of positive integer factors of 70071 that divides 70064 without a remainder.

1, 3, 23357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70064 and 70071. The biggest common factor number is the GCF number.
So the greatest common factor 70064 and 70071 is 1.

Also check out the Least Common Multiple of 70064 and 70071