What is the Greatest Common Factor of 75517 and 75530?

Greatest common factor (GCF) of 75517 and 75530 is 13.

GCF(75517,75530) = 13

We will now calculate the prime factors of 75517 and 75530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75517 and 75530.

How to find the GCF of 75517 and 75530?

We will first find the prime factorization of 75517 and 75530. After we will calculate the factors of 75517 and 75530 and find the biggest common factor number .

Step-1: Prime Factorization of 75517

Prime factors of 75517 are 13, 37, 157. Prime factorization of 75517 in exponential form is:

75517 = 13¹ × 37¹ × 157¹

Step-2: Prime Factorization of 75530

Prime factors of 75530 are 2, 5, 7, 13, 83. Prime factorization of 75530 in exponential form is:

75530 = 2¹ × 5¹ × 7¹ × 13¹ × 83¹

Step-3: Factors of 75517

List of positive integer factors of 75517 that divides 75517 without a remainder.

1, 13, 37, 157, 481, 2041, 5809

Step-4: Factors of 75530

List of positive integer factors of 75530 that divides 75517 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 83, 91, 130, 166, 182, 415, 455, 581, 830, 910, 1079, 1162, 2158, 2905, 5395, 5810, 7553, 10790, 15106, 37765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75517 and 75530. The biggest common factor number is the GCF number.
So the greatest common factor 75517 and 75530 is 13.

Also check out the Least Common Multiple of 75517 and 75530