What is the Greatest Common Factor of 75530 and 75538?

Greatest common factor (GCF) of 75530 and 75538 is 2.

GCF(75530,75538) = 2

We will now calculate the prime factors of 75530 and 75538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75530 and 75538.

How to find the GCF of 75530 and 75538?

We will first find the prime factorization of 75530 and 75538. After we will calculate the factors of 75530 and 75538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75538

Prime factors of 75538 are 2, 179, 211. Prime factorization of 75538 in exponential form is:

75538 = 2¹ × 179¹ × 211¹

Step-3: Factors of 75530

List of positive integer factors of 75530 that divides 75530 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

Step-4: Factors of 75538

List of positive integer factors of 75538 that divides 75530 without a remainder.

1, 2, 179, 211, 358, 422, 37769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75530 and 75538. The biggest common factor number is the GCF number.
So the greatest common factor 75530 and 75538 is 2.

Also check out the Least Common Multiple of 75530 and 75538