What is the Greatest Common Factor of 35264 and 35284?

Greatest common factor (GCF) of 35264 and 35284 is 4.

GCF(35264,35284) = 4

We will now calculate the prime factors of 35264 and 35284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35264 and 35284.

How to find the GCF of 35264 and 35284?

We will first find the prime factorization of 35264 and 35284. After we will calculate the factors of 35264 and 35284 and find the biggest common factor number .

Step-1: Prime Factorization of 35264

Prime factors of 35264 are 2, 19, 29. Prime factorization of 35264 in exponential form is:

35264 = 2⁶ × 19¹ × 29¹

Step-2: Prime Factorization of 35284

Prime factors of 35284 are 2, 8821. Prime factorization of 35284 in exponential form is:

35284 = 2² × 8821¹

Step-3: Factors of 35264

List of positive integer factors of 35264 that divides 35264 without a remainder.

1, 2, 4, 8, 16, 19, 29, 32, 38, 58, 64, 76, 116, 152, 232, 304, 464, 551, 608, 928, 1102, 1216, 1856, 2204, 4408, 8816, 17632

Step-4: Factors of 35284

List of positive integer factors of 35284 that divides 35264 without a remainder.

1, 2, 4, 8821, 17642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35264 and 35284. The biggest common factor number is the GCF number.
So the greatest common factor 35264 and 35284 is 4.

Also check out the Least Common Multiple of 35264 and 35284