What is the Greatest Common Factor of 35310 and 35330?

Greatest common factor (GCF) of 35310 and 35330 is 10.

GCF(35310,35330) = 10

We will now calculate the prime factors of 35310 and 35330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35310 and 35330.

How to find the GCF of 35310 and 35330?

We will first find the prime factorization of 35310 and 35330. After we will calculate the factors of 35310 and 35330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35330

Prime factors of 35330 are 2, 5, 3533. Prime factorization of 35330 in exponential form is:

35330 = 2¹ × 5¹ × 3533¹

Step-3: Factors of 35310

List of positive integer factors of 35310 that divides 35310 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

Step-4: Factors of 35330

List of positive integer factors of 35330 that divides 35310 without a remainder.

1, 2, 5, 10, 3533, 7066, 17665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35310 and 35330. The biggest common factor number is the GCF number.
So the greatest common factor 35310 and 35330 is 10.

Also check out the Least Common Multiple of 35310 and 35330