What is the Greatest Common Factor of 35456 and 35462?

Greatest common factor (GCF) of 35456 and 35462 is 2.

GCF(35456,35462) = 2

We will now calculate the prime factors of 35456 and 35462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35456 and 35462.

How to find the GCF of 35456 and 35462?

We will first find the prime factorization of 35456 and 35462. After we will calculate the factors of 35456 and 35462 and find the biggest common factor number .

Step-1: Prime Factorization of 35456

Prime factors of 35456 are 2, 277. Prime factorization of 35456 in exponential form is:

35456 = 2⁷ × 277¹

Step-2: Prime Factorization of 35462

Prime factors of 35462 are 2, 7, 17, 149. Prime factorization of 35462 in exponential form is:

35462 = 2¹ × 7¹ × 17¹ × 149¹

Step-3: Factors of 35456

List of positive integer factors of 35456 that divides 35456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 277, 554, 1108, 2216, 4432, 8864, 17728

Step-4: Factors of 35462

List of positive integer factors of 35462 that divides 35456 without a remainder.

1, 2, 7, 14, 17, 34, 119, 149, 238, 298, 1043, 2086, 2533, 5066, 17731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35456 and 35462. The biggest common factor number is the GCF number.
So the greatest common factor 35456 and 35462 is 2.

Also check out the Least Common Multiple of 35456 and 35462