What is the Greatest Common Factor of 69552 and 69568?

Greatest common factor (GCF) of 69552 and 69568 is 16.

GCF(69552,69568) = 16

We will now calculate the prime factors of 69552 and 69568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69552 and 69568.

How to find the GCF of 69552 and 69568?

We will first find the prime factorization of 69552 and 69568. After we will calculate the factors of 69552 and 69568 and find the biggest common factor number .

Step-1: Prime Factorization of 69552

Prime factors of 69552 are 2, 3, 7, 23. Prime factorization of 69552 in exponential form is:

69552 = 2⁴ × 3³ × 7¹ × 23¹

Step-2: Prime Factorization of 69568

Prime factors of 69568 are 2, 1087. Prime factorization of 69568 in exponential form is:

69568 = 2⁶ × 1087¹

Step-3: Factors of 69552

List of positive integer factors of 69552 that divides 69552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 27, 28, 36, 42, 46, 48, 54, 56, 63, 69, 72, 84, 92, 108, 112, 126, 138, 144, 161, 168, 184, 189, 207, 216, 252, 276, 322, 336, 368, 378, 414, 432, 483, 504, 552, 621, 644, 756, 828, 966, 1008, 1104, 1242, 1288, 1449, 1512, 1656, 1932, 2484, 2576, 2898, 3024, 3312, 3864, 4347, 4968, 5796, 7728, 8694, 9936, 11592, 17388, 23184, 34776

Step-4: Factors of 69568

List of positive integer factors of 69568 that divides 69552 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1087, 2174, 4348, 8696, 17392, 34784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69552 and 69568. The biggest common factor number is the GCF number.
So the greatest common factor 69552 and 69568 is 16.

Also check out the Least Common Multiple of 69552 and 69568