What is the Greatest Common Factor of 35364 and 35369?

Greatest common factor (GCF) of 35364 and 35369 is 1.

GCF(35364,35369) = 1

We will now calculate the prime factors of 35364 and 35369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35369.

How to find the GCF of 35364 and 35369?

We will first find the prime factorization of 35364 and 35369. After we will calculate the factors of 35364 and 35369 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 35369

Prime factors of 35369 are 113, 313. Prime factorization of 35369 in exponential form is:

35369 = 113¹ × 313¹

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 35369

List of positive integer factors of 35369 that divides 35364 without a remainder.

1, 113, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35369. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35369 is 1.

Also check out the Least Common Multiple of 35364 and 35369