What is the Greatest Common Factor of 35688 and 35696?

Greatest common factor (GCF) of 35688 and 35696 is 8.

GCF(35688,35696) = 8

We will now calculate the prime factors of 35688 and 35696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35688 and 35696.

How to find the GCF of 35688 and 35696?

We will first find the prime factorization of 35688 and 35696. After we will calculate the factors of 35688 and 35696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35696

Prime factors of 35696 are 2, 23, 97. Prime factorization of 35696 in exponential form is:

35696 = 2⁴ × 23¹ × 97¹

Step-3: Factors of 35688

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

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

Step-4: Factors of 35696

List of positive integer factors of 35696 that divides 35688 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 97, 184, 194, 368, 388, 776, 1552, 2231, 4462, 8924, 17848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35688 and 35696. The biggest common factor number is the GCF number.
So the greatest common factor 35688 and 35696 is 8.

Also check out the Least Common Multiple of 35688 and 35696