What is the Greatest Common Factor of 71434 and 71451?

Greatest common factor (GCF) of 71434 and 71451 is 17.

GCF(71434,71451) = 17

We will now calculate the prime factors of 71434 and 71451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71434 and 71451.

How to find the GCF of 71434 and 71451?

We will first find the prime factorization of 71434 and 71451. After we will calculate the factors of 71434 and 71451 and find the biggest common factor number .

Step-1: Prime Factorization of 71434

Prime factors of 71434 are 2, 11, 17, 191. Prime factorization of 71434 in exponential form is:

71434 = 2¹ × 11¹ × 17¹ × 191¹

Step-2: Prime Factorization of 71451

Prime factors of 71451 are 3, 17, 467. Prime factorization of 71451 in exponential form is:

71451 = 3² × 17¹ × 467¹

Step-3: Factors of 71434

List of positive integer factors of 71434 that divides 71434 without a remainder.

1, 2, 11, 17, 22, 34, 187, 191, 374, 382, 2101, 3247, 4202, 6494, 35717

Step-4: Factors of 71451

List of positive integer factors of 71451 that divides 71434 without a remainder.

1, 3, 9, 17, 51, 153, 467, 1401, 4203, 7939, 23817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71434 and 71451. The biggest common factor number is the GCF number.
So the greatest common factor 71434 and 71451 is 17.

Also check out the Least Common Multiple of 71434 and 71451