What is the Greatest Common Factor of 35364 and 35368?

Greatest common factor (GCF) of 35364 and 35368 is 4.

GCF(35364,35368) = 4

We will now calculate the prime factors of 35364 and 35368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35368.

How to find the GCF of 35364 and 35368?

We will first find the prime factorization of 35364 and 35368. After we will calculate the factors of 35364 and 35368 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 35368

Prime factors of 35368 are 2, 4421. Prime factorization of 35368 in exponential form is:

35368 = 2³ × 4421¹

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 35368

List of positive integer factors of 35368 that divides 35364 without a remainder.

1, 2, 4, 8, 4421, 8842, 17684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35368. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35368 is 4.

Also check out the Least Common Multiple of 35364 and 35368