What is the Greatest Common Factor of 71505 and 71519?

Greatest common factor (GCF) of 71505 and 71519 is 7.

GCF(71505,71519) = 7

We will now calculate the prime factors of 71505 and 71519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71505 and 71519.

How to find the GCF of 71505 and 71519?

We will first find the prime factorization of 71505 and 71519. After we will calculate the factors of 71505 and 71519 and find the biggest common factor number .

Step-1: Prime Factorization of 71505

Prime factors of 71505 are 3, 5, 7, 227. Prime factorization of 71505 in exponential form is:

71505 = 3² × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 71519

Prime factors of 71519 are 7, 17, 601. Prime factorization of 71519 in exponential form is:

71519 = 7¹ × 17¹ × 601¹

Step-3: Factors of 71505

List of positive integer factors of 71505 that divides 71505 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 227, 315, 681, 1135, 1589, 2043, 3405, 4767, 7945, 10215, 14301, 23835

Step-4: Factors of 71519

List of positive integer factors of 71519 that divides 71505 without a remainder.

1, 7, 17, 119, 601, 4207, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71505 and 71519. The biggest common factor number is the GCF number.
So the greatest common factor 71505 and 71519 is 7.

Also check out the Least Common Multiple of 71505 and 71519