What is the Greatest Common Factor of 35340 and 35345?

Greatest common factor (GCF) of 35340 and 35345 is 5.

GCF(35340,35345) = 5

We will now calculate the prime factors of 35340 and 35345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35340 and 35345.

How to find the GCF of 35340 and 35345?

We will first find the prime factorization of 35340 and 35345. After we will calculate the factors of 35340 and 35345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35345

Prime factors of 35345 are 5, 7069. Prime factorization of 35345 in exponential form is:

35345 = 5¹ × 7069¹

Step-3: Factors of 35340

List of positive integer factors of 35340 that divides 35340 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

Step-4: Factors of 35345

List of positive integer factors of 35345 that divides 35340 without a remainder.

1, 5, 7069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35340 and 35345. The biggest common factor number is the GCF number.
So the greatest common factor 35340 and 35345 is 5.

Also check out the Least Common Multiple of 35340 and 35345