What is the Greatest Common Factor of 75516 and 75520?

Greatest common factor (GCF) of 75516 and 75520 is 4.

GCF(75516,75520) = 4

We will now calculate the prime factors of 75516 and 75520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75516 and 75520.

How to find the GCF of 75516 and 75520?

We will first find the prime factorization of 75516 and 75520. After we will calculate the factors of 75516 and 75520 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 75520

Prime factors of 75520 are 2, 5, 59. Prime factorization of 75520 in exponential form is:

75520 = 2⁸ × 5¹ × 59¹

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 75520

List of positive integer factors of 75520 that divides 75516 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 128, 160, 236, 256, 295, 320, 472, 590, 640, 944, 1180, 1280, 1888, 2360, 3776, 4720, 7552, 9440, 15104, 18880, 37760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75516 and 75520. The biggest common factor number is the GCF number.
So the greatest common factor 75516 and 75520 is 4.

Also check out the Least Common Multiple of 75516 and 75520