What is the Greatest Common Factor of 35508 and 35512?

Greatest common factor (GCF) of 35508 and 35512 is 4.

GCF(35508,35512) = 4

We will now calculate the prime factors of 35508 and 35512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35508 and 35512.

How to find the GCF of 35508 and 35512?

We will first find the prime factorization of 35508 and 35512. After we will calculate the factors of 35508 and 35512 and find the biggest common factor number .

Step-1: Prime Factorization of 35508

Prime factors of 35508 are 2, 3, 11, 269. Prime factorization of 35508 in exponential form is:

35508 = 2² × 3¹ × 11¹ × 269¹

Step-2: Prime Factorization of 35512

Prime factors of 35512 are 2, 23, 193. Prime factorization of 35512 in exponential form is:

35512 = 2³ × 23¹ × 193¹

Step-3: Factors of 35508

List of positive integer factors of 35508 that divides 35508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 269, 538, 807, 1076, 1614, 2959, 3228, 5918, 8877, 11836, 17754

Step-4: Factors of 35512

List of positive integer factors of 35512 that divides 35508 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 193, 386, 772, 1544, 4439, 8878, 17756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35508 and 35512. The biggest common factor number is the GCF number.
So the greatest common factor 35508 and 35512 is 4.

Also check out the Least Common Multiple of 35508 and 35512