What is the Greatest Common Factor of 35256 and 35269?

Greatest common factor (GCF) of 35256 and 35269 is 13.

GCF(35256,35269) = 13

We will now calculate the prime factors of 35256 and 35269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35256 and 35269.

How to find the GCF of 35256 and 35269?

We will first find the prime factorization of 35256 and 35269. After we will calculate the factors of 35256 and 35269 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 35269

Prime factors of 35269 are 13, 2713. Prime factorization of 35269 in exponential form is:

35269 = 13¹ × 2713¹

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 35269

List of positive integer factors of 35269 that divides 35256 without a remainder.

1, 13, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35256 and 35269. The biggest common factor number is the GCF number.
So the greatest common factor 35256 and 35269 is 13.

Also check out the Least Common Multiple of 35256 and 35269