What is the Greatest Common Factor of 69520 and 69536?

Greatest common factor (GCF) of 69520 and 69536 is 16.

GCF(69520,69536) = 16

We will now calculate the prime factors of 69520 and 69536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69520 and 69536.

How to find the GCF of 69520 and 69536?

We will first find the prime factorization of 69520 and 69536. After we will calculate the factors of 69520 and 69536 and find the biggest common factor number .

Step-1: Prime Factorization of 69520

Prime factors of 69520 are 2, 5, 11, 79. Prime factorization of 69520 in exponential form is:

69520 = 2⁴ × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 69536

Prime factors of 69536 are 2, 41, 53. Prime factorization of 69536 in exponential form is:

69536 = 2⁵ × 41¹ × 53¹

Step-3: Factors of 69520

List of positive integer factors of 69520 that divides 69520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 79, 80, 88, 110, 158, 176, 220, 316, 395, 440, 632, 790, 869, 880, 1264, 1580, 1738, 3160, 3476, 4345, 6320, 6952, 8690, 13904, 17380, 34760

Step-4: Factors of 69536

List of positive integer factors of 69536 that divides 69520 without a remainder.

1, 2, 4, 8, 16, 32, 41, 53, 82, 106, 164, 212, 328, 424, 656, 848, 1312, 1696, 2173, 4346, 8692, 17384, 34768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69520 and 69536. The biggest common factor number is the GCF number.
So the greatest common factor 69520 and 69536 is 16.

Also check out the Least Common Multiple of 69520 and 69536