What is the Greatest Common Factor of 71715 and 71735?

Greatest common factor (GCF) of 71715 and 71735 is 5.

GCF(71715,71735) = 5

We will now calculate the prime factors of 71715 and 71735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71715 and 71735.

How to find the GCF of 71715 and 71735?

We will first find the prime factorization of 71715 and 71735. After we will calculate the factors of 71715 and 71735 and find the biggest common factor number .

Step-1: Prime Factorization of 71715

Prime factors of 71715 are 3, 5, 7, 683. Prime factorization of 71715 in exponential form is:

71715 = 3¹ × 5¹ × 7¹ × 683¹

Step-2: Prime Factorization of 71735

Prime factors of 71735 are 5, 14347. Prime factorization of 71735 in exponential form is:

71735 = 5¹ × 14347¹

Step-3: Factors of 71715

List of positive integer factors of 71715 that divides 71715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 683, 2049, 3415, 4781, 10245, 14343, 23905

Step-4: Factors of 71735

List of positive integer factors of 71735 that divides 71715 without a remainder.

1, 5, 14347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71715 and 71735. The biggest common factor number is the GCF number.
So the greatest common factor 71715 and 71735 is 5.

Also check out the Least Common Multiple of 71715 and 71735