What is the Greatest Common Factor of 3434 and 3451?

Greatest common factor (GCF) of 3434 and 3451 is 17.

GCF(3434,3451) = 17

We will now calculate the prime factors of 3434 and 3451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3434 and 3451.

How to find the GCF of 3434 and 3451?

We will first find the prime factorization of 3434 and 3451. After we will calculate the factors of 3434 and 3451 and find the biggest common factor number .

Step-1: Prime Factorization of 3434

Prime factors of 3434 are 2, 17, 101. Prime factorization of 3434 in exponential form is:

3434 = 2¹ × 17¹ × 101¹

Step-2: Prime Factorization of 3451

Prime factors of 3451 are 7, 17, 29. Prime factorization of 3451 in exponential form is:

3451 = 7¹ × 17¹ × 29¹

Step-3: Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1, 2, 17, 34, 101, 202, 1717

Step-4: Factors of 3451

List of positive integer factors of 3451 that divides 3434 without a remainder.

1, 7, 17, 29, 119, 203, 493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3434 and 3451. The biggest common factor number is the GCF number.
So the greatest common factor 3434 and 3451 is 17.

Also check out the Least Common Multiple of 3434 and 3451