What is the Greatest Common Factor of 35340 and 35356?

Greatest common factor (GCF) of 35340 and 35356 is 4.

GCF(35340,35356) = 4

We will now calculate the prime factors of 35340 and 35356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35340 and 35356.

How to find the GCF of 35340 and 35356?

We will first find the prime factorization of 35340 and 35356. After we will calculate the factors of 35340 and 35356 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 35356

Prime factors of 35356 are 2, 8839. Prime factorization of 35356 in exponential form is:

35356 = 2² × 8839¹

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 35356

List of positive integer factors of 35356 that divides 35340 without a remainder.

1, 2, 4, 8839, 17678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35340 and 35356. The biggest common factor number is the GCF number.
So the greatest common factor 35340 and 35356 is 4.

Also check out the Least Common Multiple of 35340 and 35356