What is the Greatest Common Factor of 70058 and 70064?

Greatest common factor (GCF) of 70058 and 70064 is 2.

GCF(70058,70064) = 2

We will now calculate the prime factors of 70058 and 70064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70058 and 70064.

How to find the GCF of 70058 and 70064?

We will first find the prime factorization of 70058 and 70064. After we will calculate the factors of 70058 and 70064 and find the biggest common factor number .

Step-1: Prime Factorization of 70058

Prime factors of 70058 are 2, 23, 1523. Prime factorization of 70058 in exponential form is:

70058 = 2¹ × 23¹ × 1523¹

Step-2: 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-3: Factors of 70058

List of positive integer factors of 70058 that divides 70058 without a remainder.

1, 2, 23, 46, 1523, 3046, 35029

Step-4: Factors of 70064

List of positive integer factors of 70064 that divides 70058 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70058 and 70064. The biggest common factor number is the GCF number.
So the greatest common factor 70058 and 70064 is 2.

Also check out the Least Common Multiple of 70058 and 70064