What is the Greatest Common Factor of 35328 and 35340?

Greatest common factor (GCF) of 35328 and 35340 is 12.

GCF(35328,35340) = 12

We will now calculate the prime factors of 35328 and 35340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35328 and 35340.

How to find the GCF of 35328 and 35340?

We will first find the prime factorization of 35328 and 35340. After we will calculate the factors of 35328 and 35340 and find the biggest common factor number .

Step-1: Prime Factorization of 35328

Prime factors of 35328 are 2, 3, 23. Prime factorization of 35328 in exponential form is:

35328 = 2⁹ × 3¹ × 23¹

Step-2: Prime Factorization of 35340

Prime factors of 35340 are 2, 3, 5, 19, 31. Prime factorization of 35340 in exponential form is:

35340 = 2² × 3¹ × 5¹ × 19¹ × 31¹

Step-3: Factors of 35328

List of positive integer factors of 35328 that divides 35328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 256, 276, 368, 384, 512, 552, 736, 768, 1104, 1472, 1536, 2208, 2944, 4416, 5888, 8832, 11776, 17664

Step-4: Factors of 35340

List of positive integer factors of 35340 that divides 35328 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 31, 38, 57, 60, 62, 76, 93, 95, 114, 124, 155, 186, 190, 228, 285, 310, 372, 380, 465, 570, 589, 620, 930, 1140, 1178, 1767, 1860, 2356, 2945, 3534, 5890, 7068, 8835, 11780, 17670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35328 and 35340. The biggest common factor number is the GCF number.
So the greatest common factor 35328 and 35340 is 12.

Also check out the Least Common Multiple of 35328 and 35340