What is the Greatest Common Factor of 35355 and 35364?

Greatest common factor (GCF) of 35355 and 35364 is 3.

GCF(35355,35364) = 3

We will now calculate the prime factors of 35355 and 35364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35355 and 35364.

How to find the GCF of 35355 and 35364?

We will first find the prime factorization of 35355 and 35364. After we will calculate the factors of 35355 and 35364 and find the biggest common factor number .

Step-1: Prime Factorization of 35355

Prime factors of 35355 are 3, 5, 2357. Prime factorization of 35355 in exponential form is:

35355 = 3¹ × 5¹ × 2357¹

Step-2: Prime Factorization of 35364

Prime factors of 35364 are 2, 3, 7, 421. Prime factorization of 35364 in exponential form is:

35364 = 2² × 3¹ × 7¹ × 421¹

Step-3: Factors of 35355

List of positive integer factors of 35355 that divides 35355 without a remainder.

1, 3, 5, 15, 2357, 7071, 11785

Step-4: Factors of 35364

List of positive integer factors of 35364 that divides 35355 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 421, 842, 1263, 1684, 2526, 2947, 5052, 5894, 8841, 11788, 17682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35355 and 35364. The biggest common factor number is the GCF number.
So the greatest common factor 35355 and 35364 is 3.

Also check out the Least Common Multiple of 35355 and 35364