What is the Greatest Common Factor of 75523 and 75530?

Greatest common factor (GCF) of 75523 and 75530 is 7.

GCF(75523,75530) = 7

We will now calculate the prime factors of 75523 and 75530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75523 and 75530.

How to find the GCF of 75523 and 75530?

We will first find the prime factorization of 75523 and 75530. After we will calculate the factors of 75523 and 75530 and find the biggest common factor number .

Step-1: Prime Factorization of 75523

Prime factors of 75523 are 7, 10789. Prime factorization of 75523 in exponential form is:

75523 = 7¹ × 10789¹

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 75523

List of positive integer factors of 75523 that divides 75523 without a remainder.

1, 7, 10789

Step-4: Factors of 75530

List of positive integer factors of 75530 that divides 75523 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 75523 and 75530. The biggest common factor number is the GCF number.
So the greatest common factor 75523 and 75530 is 7.

Also check out the Least Common Multiple of 75523 and 75530