What is the Greatest Common Factor of 69504 and 69520?

Greatest common factor (GCF) of 69504 and 69520 is 16.

GCF(69504,69520) = 16

We will now calculate the prime factors of 69504 and 69520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69504 and 69520.

How to find the GCF of 69504 and 69520?

We will first find the prime factorization of 69504 and 69520. After we will calculate the factors of 69504 and 69520 and find the biggest common factor number .

Step-1: Prime Factorization of 69504

Prime factors of 69504 are 2, 3, 181. Prime factorization of 69504 in exponential form is:

69504 = 2⁷ × 3¹ × 181¹

Step-2: 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-3: Factors of 69504

List of positive integer factors of 69504 that divides 69504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 181, 192, 362, 384, 543, 724, 1086, 1448, 2172, 2896, 4344, 5792, 8688, 11584, 17376, 23168, 34752

Step-4: Factors of 69520

List of positive integer factors of 69520 that divides 69504 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69504 and 69520. The biggest common factor number is the GCF number.
So the greatest common factor 69504 and 69520 is 16.

Also check out the Least Common Multiple of 69504 and 69520