What is the Greatest Common Factor of 35445 and 35456?

Greatest common factor (GCF) of 35445 and 35456 is 1.

GCF(35445,35456) = 1

We will now calculate the prime factors of 35445 and 35456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35445 and 35456.

How to find the GCF of 35445 and 35456?

We will first find the prime factorization of 35445 and 35456. After we will calculate the factors of 35445 and 35456 and find the biggest common factor number .

Step-1: Prime Factorization of 35445

Prime factors of 35445 are 3, 5, 17, 139. Prime factorization of 35445 in exponential form is:

35445 = 3¹ × 5¹ × 17¹ × 139¹

Step-2: Prime Factorization of 35456

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

35456 = 2⁷ × 277¹

Step-3: Factors of 35445

List of positive integer factors of 35445 that divides 35445 without a remainder.

1, 3, 5, 15, 17, 51, 85, 139, 255, 417, 695, 2085, 2363, 7089, 11815

Step-4: Factors of 35456

List of positive integer factors of 35456 that divides 35445 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35445 and 35456. The biggest common factor number is the GCF number.
So the greatest common factor 35445 and 35456 is 1.

Also check out the Least Common Multiple of 35445 and 35456