What is the Greatest Common Factor of 35671 and 35680?

Greatest common factor (GCF) of 35671 and 35680 is 1.

GCF(35671,35680) = 1

We will now calculate the prime factors of 35671 and 35680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35671 and 35680.

How to find the GCF of 35671 and 35680?

We will first find the prime factorization of 35671 and 35680. After we will calculate the factors of 35671 and 35680 and find the biggest common factor number .

Step-1: Prime Factorization of 35671

Prime factors of 35671 are 35671. Prime factorization of 35671 in exponential form is:

35671 = 35671¹

Step-2: Prime Factorization of 35680

Prime factors of 35680 are 2, 5, 223. Prime factorization of 35680 in exponential form is:

35680 = 2⁵ × 5¹ × 223¹

Step-3: Factors of 35671

List of positive integer factors of 35671 that divides 35671 without a remainder.

Step-4: Factors of 35680

List of positive integer factors of 35680 that divides 35671 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 223, 446, 892, 1115, 1784, 2230, 3568, 4460, 7136, 8920, 17840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35671 and 35680. The biggest common factor number is the GCF number.
So the greatest common factor 35671 and 35680 is 1.

Also check out the Least Common Multiple of 35671 and 35680