What is the Greatest Common Factor of 35304 and 35310?

Greatest common factor (GCF) of 35304 and 35310 is 6.

GCF(35304,35310) = 6

We will now calculate the prime factors of 35304 and 35310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35304 and 35310.

How to find the GCF of 35304 and 35310?

We will first find the prime factorization of 35304 and 35310. After we will calculate the factors of 35304 and 35310 and find the biggest common factor number .

Step-1: Prime Factorization of 35304

Prime factors of 35304 are 2, 3, 1471. Prime factorization of 35304 in exponential form is:

35304 = 2³ × 3¹ × 1471¹

Step-2: Prime Factorization of 35310

Prime factors of 35310 are 2, 3, 5, 11, 107. Prime factorization of 35310 in exponential form is:

35310 = 2¹ × 3¹ × 5¹ × 11¹ × 107¹

Step-3: Factors of 35304

List of positive integer factors of 35304 that divides 35304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1471, 2942, 4413, 5884, 8826, 11768, 17652

Step-4: Factors of 35310

List of positive integer factors of 35310 that divides 35304 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 107, 110, 165, 214, 321, 330, 535, 642, 1070, 1177, 1605, 2354, 3210, 3531, 5885, 7062, 11770, 17655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35304 and 35310. The biggest common factor number is the GCF number.
So the greatest common factor 35304 and 35310 is 6.

Also check out the Least Common Multiple of 35304 and 35310