What is the Greatest Common Factor of 35242 and 35256?

Greatest common factor (GCF) of 35242 and 35256 is 2.

GCF(35242,35256) = 2

We will now calculate the prime factors of 35242 and 35256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35242 and 35256.

How to find the GCF of 35242 and 35256?

We will first find the prime factorization of 35242 and 35256. After we will calculate the factors of 35242 and 35256 and find the biggest common factor number .

Step-1: Prime Factorization of 35242

Prime factors of 35242 are 2, 67, 263. Prime factorization of 35242 in exponential form is:

35242 = 2¹ × 67¹ × 263¹

Step-2: 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-3: Factors of 35242

List of positive integer factors of 35242 that divides 35242 without a remainder.

1, 2, 67, 134, 263, 526, 17621

Step-4: Factors of 35256

List of positive integer factors of 35256 that divides 35242 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35242 and 35256. The biggest common factor number is the GCF number.
So the greatest common factor 35242 and 35256 is 2.

Also check out the Least Common Multiple of 35242 and 35256