What is the Greatest Common Factor of 35104 and 35120?

Greatest common factor (GCF) of 35104 and 35120 is 16.

GCF(35104,35120) = 16

We will now calculate the prime factors of 35104 and 35120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35104 and 35120.

How to find the GCF of 35104 and 35120?

We will first find the prime factorization of 35104 and 35120. After we will calculate the factors of 35104 and 35120 and find the biggest common factor number .

Step-1: Prime Factorization of 35104

Prime factors of 35104 are 2, 1097. Prime factorization of 35104 in exponential form is:

35104 = 2⁵ × 1097¹

Step-2: Prime Factorization of 35120

Prime factors of 35120 are 2, 5, 439. Prime factorization of 35120 in exponential form is:

35120 = 2⁴ × 5¹ × 439¹

Step-3: Factors of 35104

List of positive integer factors of 35104 that divides 35104 without a remainder.

1, 2, 4, 8, 16, 32, 1097, 2194, 4388, 8776, 17552

Step-4: Factors of 35120

List of positive integer factors of 35120 that divides 35104 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35104 and 35120. The biggest common factor number is the GCF number.
So the greatest common factor 35104 and 35120 is 16.

Also check out the Least Common Multiple of 35104 and 35120