What is the Greatest Common Factor of 75501 and 75516?

Greatest common factor (GCF) of 75501 and 75516 is 3.

GCF(75501,75516) = 3

We will now calculate the prime factors of 75501 and 75516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75501 and 75516.

How to find the GCF of 75501 and 75516?

We will first find the prime factorization of 75501 and 75516. After we will calculate the factors of 75501 and 75516 and find the biggest common factor number .

Step-1: Prime Factorization of 75501

Prime factors of 75501 are 3, 8389. Prime factorization of 75501 in exponential form is:

75501 = 3² × 8389¹

Step-2: Prime Factorization of 75516

Prime factors of 75516 are 2, 3, 7, 29, 31. Prime factorization of 75516 in exponential form is:

75516 = 2² × 3¹ × 7¹ × 29¹ × 31¹

Step-3: Factors of 75501

List of positive integer factors of 75501 that divides 75501 without a remainder.

1, 3, 9, 8389, 25167

Step-4: Factors of 75516

List of positive integer factors of 75516 that divides 75501 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 31, 42, 58, 62, 84, 87, 93, 116, 124, 174, 186, 203, 217, 348, 372, 406, 434, 609, 651, 812, 868, 899, 1218, 1302, 1798, 2436, 2604, 2697, 3596, 5394, 6293, 10788, 12586, 18879, 25172, 37758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75501 and 75516. The biggest common factor number is the GCF number.
So the greatest common factor 75501 and 75516 is 3.

Also check out the Least Common Multiple of 75501 and 75516