What is the Greatest Common Factor of 35340 and 35348?

Greatest common factor (GCF) of 35340 and 35348 is 4.

GCF(35340,35348) = 4

We will now calculate the prime factors of 35340 and 35348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35340 and 35348.

How to find the GCF of 35340 and 35348?

We will first find the prime factorization of 35340 and 35348. After we will calculate the factors of 35340 and 35348 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 35348

Prime factors of 35348 are 2, 8837. Prime factorization of 35348 in exponential form is:

35348 = 2² × 8837¹

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 35348

List of positive integer factors of 35348 that divides 35340 without a remainder.

1, 2, 4, 8837, 17674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35340 and 35348. The biggest common factor number is the GCF number.
So the greatest common factor 35340 and 35348 is 4.

Also check out the Least Common Multiple of 35340 and 35348