What is the Greatest Common Factor of 35330 and 35340?

Greatest common factor (GCF) of 35330 and 35340 is 10.

GCF(35330,35340) = 10

We will now calculate the prime factors of 35330 and 35340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35330 and 35340.

How to find the GCF of 35330 and 35340?

We will first find the prime factorization of 35330 and 35340. After we will calculate the factors of 35330 and 35340 and find the biggest common factor number .

Step-1: 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-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 35330

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

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

Step-4: Factors of 35340

List of positive integer factors of 35340 that divides 35330 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 35330 and 35340. The biggest common factor number is the GCF number.
So the greatest common factor 35330 and 35340 is 10.

Also check out the Least Common Multiple of 35330 and 35340