What is the Greatest Common Factor of 35474 and 35483?

Greatest common factor (GCF) of 35474 and 35483 is 1.

GCF(35474,35483) = 1

We will now calculate the prime factors of 35474 and 35483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35474 and 35483.

How to find the GCF of 35474 and 35483?

We will first find the prime factorization of 35474 and 35483. After we will calculate the factors of 35474 and 35483 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 35483

Prime factors of 35483 are 7, 37, 137. Prime factorization of 35483 in exponential form is:

35483 = 7¹ × 37¹ × 137¹

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 35483

List of positive integer factors of 35483 that divides 35474 without a remainder.

1, 7, 37, 137, 259, 959, 5069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35474 and 35483. The biggest common factor number is the GCF number.
So the greatest common factor 35474 and 35483 is 1.

Also check out the Least Common Multiple of 35474 and 35483