What is the Greatest Common Factor of 20434 and 20451?

Greatest common factor (GCF) of 20434 and 20451 is 17.

GCF(20434,20451) = 17

We will now calculate the prime factors of 20434 and 20451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20434 and 20451.

How to find the GCF of 20434 and 20451?

We will first find the prime factorization of 20434 and 20451. After we will calculate the factors of 20434 and 20451 and find the biggest common factor number .

Step-1: Prime Factorization of 20434

Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:

20434 = 2¹ × 17¹ × 601¹

Step-2: Prime Factorization of 20451

Prime factors of 20451 are 3, 17, 401. Prime factorization of 20451 in exponential form is:

20451 = 3¹ × 17¹ × 401¹

Step-3: Factors of 20434

List of positive integer factors of 20434 that divides 20434 without a remainder.

1, 2, 17, 34, 601, 1202, 10217

Step-4: Factors of 20451

List of positive integer factors of 20451 that divides 20434 without a remainder.

1, 3, 17, 51, 401, 1203, 6817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20434 and 20451. The biggest common factor number is the GCF number.
So the greatest common factor 20434 and 20451 is 17.

Also check out the Least Common Multiple of 20434 and 20451