What is the Greatest Common Factor of 35364 and 35379?

Greatest common factor (GCF) of 35364 and 35379 is 3.

GCF(35364,35379) = 3

We will now calculate the prime factors of 35364 and 35379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35379.

How to find the GCF of 35364 and 35379?

We will first find the prime factorization of 35364 and 35379. After we will calculate the factors of 35364 and 35379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35379

Prime factors of 35379 are 3, 3931. Prime factorization of 35379 in exponential form is:

35379 = 3² × 3931¹

Step-3: Factors of 35364

List of positive integer factors of 35364 that divides 35364 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

Step-4: Factors of 35379

List of positive integer factors of 35379 that divides 35364 without a remainder.

1, 3, 9, 3931, 11793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35379. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35379 is 3.

Also check out the Least Common Multiple of 35364 and 35379