What is the Greatest Common Factor of 35256 and 35264?

Greatest common factor (GCF) of 35256 and 35264 is 8.

GCF(35256,35264) = 8

We will now calculate the prime factors of 35256 and 35264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35256 and 35264.

How to find the GCF of 35256 and 35264?

We will first find the prime factorization of 35256 and 35264. After we will calculate the factors of 35256 and 35264 and find the biggest common factor number .

Step-1: Prime Factorization of 35256

Prime factors of 35256 are 2, 3, 13, 113. Prime factorization of 35256 in exponential form is:

35256 = 2³ × 3¹ × 13¹ × 113¹

Step-2: 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-3: Factors of 35256

List of positive integer factors of 35256 that divides 35256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 113, 156, 226, 312, 339, 452, 678, 904, 1356, 1469, 2712, 2938, 4407, 5876, 8814, 11752, 17628

Step-4: Factors of 35264

List of positive integer factors of 35264 that divides 35256 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35256 and 35264. The biggest common factor number is the GCF number.
So the greatest common factor 35256 and 35264 is 8.

Also check out the Least Common Multiple of 35256 and 35264