What is the Greatest Common Factor of 35680 and 35688?

Greatest common factor (GCF) of 35680 and 35688 is 8.

GCF(35680,35688) = 8

We will now calculate the prime factors of 35680 and 35688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35680 and 35688.

How to find the GCF of 35680 and 35688?

We will first find the prime factorization of 35680 and 35688. After we will calculate the factors of 35680 and 35688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35688

Prime factors of 35688 are 2, 3, 1487. Prime factorization of 35688 in exponential form is:

35688 = 2³ × 3¹ × 1487¹

Step-3: Factors of 35680

List of positive integer factors of 35680 that divides 35680 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

Step-4: Factors of 35688

List of positive integer factors of 35688 that divides 35680 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1487, 2974, 4461, 5948, 8922, 11896, 17844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35680 and 35688. The biggest common factor number is the GCF number.
So the greatest common factor 35680 and 35688 is 8.

Also check out the Least Common Multiple of 35680 and 35688