What is the Greatest Common Factor of 35474 and 35482?

Greatest common factor (GCF) of 35474 and 35482 is 2.

GCF(35474,35482) = 2

We will now calculate the prime factors of 35474 and 35482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35474 and 35482.

How to find the GCF of 35474 and 35482?

We will first find the prime factorization of 35474 and 35482. After we will calculate the factors of 35474 and 35482 and find the biggest common factor number .

Step-1: Prime Factorization of 35474

Prime factors of 35474 are 2, 17737. Prime factorization of 35474 in exponential form is:

35474 = 2¹ × 17737¹

Step-2: Prime Factorization of 35482

Prime factors of 35482 are 2, 113, 157. Prime factorization of 35482 in exponential form is:

35482 = 2¹ × 113¹ × 157¹

Step-3: Factors of 35474

List of positive integer factors of 35474 that divides 35474 without a remainder.

1, 2, 17737

Step-4: Factors of 35482

List of positive integer factors of 35482 that divides 35474 without a remainder.

1, 2, 113, 157, 226, 314, 17741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35474 and 35482. The biggest common factor number is the GCF number.
So the greatest common factor 35474 and 35482 is 2.

Also check out the Least Common Multiple of 35474 and 35482