What is the Greatest Common Factor of 75520 and 75536?

Greatest common factor (GCF) of 75520 and 75536 is 16.

GCF(75520,75536) = 16

We will now calculate the prime factors of 75520 and 75536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75520 and 75536.

How to find the GCF of 75520 and 75536?

We will first find the prime factorization of 75520 and 75536. After we will calculate the factors of 75520 and 75536 and find the biggest common factor number .

Step-1: 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-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 75520

List of positive integer factors of 75520 that divides 75520 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

Step-4: Factors of 75536

List of positive integer factors of 75536 that divides 75520 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 75520 and 75536. The biggest common factor number is the GCF number.
So the greatest common factor 75520 and 75536 is 16.

Also check out the Least Common Multiple of 75520 and 75536