What is the Greatest Common Factor of 35364 and 35384?

Greatest common factor (GCF) of 35364 and 35384 is 4.

GCF(35364,35384) = 4

We will now calculate the prime factors of 35364 and 35384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35384.

How to find the GCF of 35364 and 35384?

We will first find the prime factorization of 35364 and 35384. After we will calculate the factors of 35364 and 35384 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 35384

Prime factors of 35384 are 2, 4423. Prime factorization of 35384 in exponential form is:

35384 = 2³ × 4423¹

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 35384

List of positive integer factors of 35384 that divides 35364 without a remainder.

1, 2, 4, 8, 4423, 8846, 17692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35384. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35384 is 4.

Also check out the Least Common Multiple of 35364 and 35384