What is the Greatest Common Factor of 70240 and 70256?

Greatest common factor (GCF) of 70240 and 70256 is 16.

GCF(70240,70256) = 16

We will now calculate the prime factors of 70240 and 70256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70240 and 70256.

How to find the GCF of 70240 and 70256?

We will first find the prime factorization of 70240 and 70256. After we will calculate the factors of 70240 and 70256 and find the biggest common factor number .

Step-1: Prime Factorization of 70240

Prime factors of 70240 are 2, 5, 439. Prime factorization of 70240 in exponential form is:

70240 = 2⁵ × 5¹ × 439¹

Step-2: Prime Factorization of 70256

Prime factors of 70256 are 2, 4391. Prime factorization of 70256 in exponential form is:

70256 = 2⁴ × 4391¹

Step-3: Factors of 70240

List of positive integer factors of 70240 that divides 70240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 439, 878, 1756, 2195, 3512, 4390, 7024, 8780, 14048, 17560, 35120

Step-4: Factors of 70256

List of positive integer factors of 70256 that divides 70240 without a remainder.

1, 2, 4, 8, 16, 4391, 8782, 17564, 35128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70240 and 70256. The biggest common factor number is the GCF number.
So the greatest common factor 70240 and 70256 is 16.

Also check out the Least Common Multiple of 70240 and 70256