What is the Greatest Common Factor of 35256 and 35276?

Greatest common factor (GCF) of 35256 and 35276 is 4.

GCF(35256,35276) = 4

We will now calculate the prime factors of 35256 and 35276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35256 and 35276.

How to find the GCF of 35256 and 35276?

We will first find the prime factorization of 35256 and 35276. After we will calculate the factors of 35256 and 35276 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 35276

Prime factors of 35276 are 2, 8819. Prime factorization of 35276 in exponential form is:

35276 = 2² × 8819¹

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 35276

List of positive integer factors of 35276 that divides 35256 without a remainder.

1, 2, 4, 8819, 17638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35256 and 35276. The biggest common factor number is the GCF number.
So the greatest common factor 35256 and 35276 is 4.

Also check out the Least Common Multiple of 35256 and 35276