What is the Greatest Common Factor of 71461 and 71474?

Greatest common factor (GCF) of 71461 and 71474 is 13.

GCF(71461,71474) = 13

We will now calculate the prime factors of 71461 and 71474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71461 and 71474.

How to find the GCF of 71461 and 71474?

We will first find the prime factorization of 71461 and 71474. After we will calculate the factors of 71461 and 71474 and find the biggest common factor number .

Step-1: Prime Factorization of 71461

Prime factors of 71461 are 13, 23, 239. Prime factorization of 71461 in exponential form is:

71461 = 13¹ × 23¹ × 239¹

Step-2: Prime Factorization of 71474

Prime factors of 71474 are 2, 13, 2749. Prime factorization of 71474 in exponential form is:

71474 = 2¹ × 13¹ × 2749¹

Step-3: Factors of 71461

List of positive integer factors of 71461 that divides 71461 without a remainder.

1, 13, 23, 239, 299, 3107, 5497

Step-4: Factors of 71474

List of positive integer factors of 71474 that divides 71461 without a remainder.

1, 2, 13, 26, 2749, 5498, 35737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71461 and 71474. The biggest common factor number is the GCF number.
So the greatest common factor 71461 and 71474 is 13.

Also check out the Least Common Multiple of 71461 and 71474