What is the Greatest Common Factor of 69546 and 69552?

Greatest common factor (GCF) of 69546 and 69552 is 6.

GCF(69546,69552) = 6

We will now calculate the prime factors of 69546 and 69552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69546 and 69552.

How to find the GCF of 69546 and 69552?

We will first find the prime factorization of 69546 and 69552. After we will calculate the factors of 69546 and 69552 and find the biggest common factor number .

Step-1: Prime Factorization of 69546

Prime factors of 69546 are 2, 3, 67, 173. Prime factorization of 69546 in exponential form is:

69546 = 2¹ × 3¹ × 67¹ × 173¹

Step-2: 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-3: Factors of 69546

List of positive integer factors of 69546 that divides 69546 without a remainder.

1, 2, 3, 6, 67, 134, 173, 201, 346, 402, 519, 1038, 11591, 23182, 34773

Step-4: Factors of 69552

List of positive integer factors of 69552 that divides 69546 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69546 and 69552. The biggest common factor number is the GCF number.
So the greatest common factor 69546 and 69552 is 6.

Also check out the Least Common Multiple of 69546 and 69552