What is the Greatest Common Factor of 71745 and 71755?

Greatest common factor (GCF) of 71745 and 71755 is 5.

GCF(71745,71755) = 5

We will now calculate the prime factors of 71745 and 71755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71745 and 71755.

How to find the GCF of 71745 and 71755?

We will first find the prime factorization of 71745 and 71755. After we will calculate the factors of 71745 and 71755 and find the biggest common factor number .

Step-1: Prime Factorization of 71745

Prime factors of 71745 are 3, 5, 4783. Prime factorization of 71745 in exponential form is:

71745 = 3¹ × 5¹ × 4783¹

Step-2: Prime Factorization of 71755

Prime factors of 71755 are 5, 113, 127. Prime factorization of 71755 in exponential form is:

71755 = 5¹ × 113¹ × 127¹

Step-3: Factors of 71745

List of positive integer factors of 71745 that divides 71745 without a remainder.

1, 3, 5, 15, 4783, 14349, 23915

Step-4: Factors of 71755

List of positive integer factors of 71755 that divides 71745 without a remainder.

1, 5, 113, 127, 565, 635, 14351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71745 and 71755. The biggest common factor number is the GCF number.
So the greatest common factor 71745 and 71755 is 5.

Also check out the Least Common Multiple of 71745 and 71755