What is the Greatest Common Factor of 33437 and 33451?

Greatest common factor (GCF) of 33437 and 33451 is 1.

GCF(33437,33451) = 1

We will now calculate the prime factors of 33437 and 33451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33437 and 33451.

How to find the GCF of 33437 and 33451?

We will first find the prime factorization of 33437 and 33451. After we will calculate the factors of 33437 and 33451 and find the biggest common factor number .

Step-1: Prime Factorization of 33437

Prime factors of 33437 are 29, 1153. Prime factorization of 33437 in exponential form is:

33437 = 29¹ × 1153¹

Step-2: Prime Factorization of 33451

Prime factors of 33451 are 11, 3041. Prime factorization of 33451 in exponential form is:

33451 = 11¹ × 3041¹

Step-3: Factors of 33437

List of positive integer factors of 33437 that divides 33437 without a remainder.

1, 29, 1153

Step-4: Factors of 33451

List of positive integer factors of 33451 that divides 33437 without a remainder.

1, 11, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33437 and 33451. The biggest common factor number is the GCF number.
So the greatest common factor 33437 and 33451 is 1.

Also check out the Least Common Multiple of 33437 and 33451