What is the Greatest Common Factor of 75516 and 75536?

Greatest common factor (GCF) of 75516 and 75536 is 4.

GCF(75516,75536) = 4

We will now calculate the prime factors of 75516 and 75536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75516 and 75536.

How to find the GCF of 75516 and 75536?

We will first find the prime factorization of 75516 and 75536. After we will calculate the factors of 75516 and 75536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75536

Prime factors of 75536 are 2, 4721. Prime factorization of 75536 in exponential form is:

75536 = 2⁴ × 4721¹

Step-3: Factors of 75516

List of positive integer factors of 75516 that divides 75516 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

Step-4: Factors of 75536

List of positive integer factors of 75536 that divides 75516 without a remainder.

1, 2, 4, 8, 16, 4721, 9442, 18884, 37768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75516 and 75536. The biggest common factor number is the GCF number.
So the greatest common factor 75516 and 75536 is 4.

Also check out the Least Common Multiple of 75516 and 75536