What is the Greatest Common Factor of 27450 and 27456?

Greatest common factor (GCF) of 27450 and 27456 is 6.

GCF(27450,27456) = 6

We will now calculate the prime factors of 27450 and 27456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27450 and 27456.

How to find the GCF of 27450 and 27456?

We will first find the prime factorization of 27450 and 27456. After we will calculate the factors of 27450 and 27456 and find the biggest common factor number .

Step-1: Prime Factorization of 27450

Prime factors of 27450 are 2, 3, 5, 61. Prime factorization of 27450 in exponential form is:

27450 = 2¹ × 3² × 5² × 61¹

Step-2: Prime Factorization of 27456

Prime factors of 27456 are 2, 3, 11, 13. Prime factorization of 27456 in exponential form is:

27456 = 2⁶ × 3¹ × 11¹ × 13¹

Step-3: Factors of 27450

List of positive integer factors of 27450 that divides 27450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 61, 75, 90, 122, 150, 183, 225, 305, 366, 450, 549, 610, 915, 1098, 1525, 1830, 2745, 3050, 4575, 5490, 9150, 13725

Step-4: Factors of 27456

List of positive integer factors of 27456 that divides 27450 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 64, 66, 78, 88, 96, 104, 132, 143, 156, 176, 192, 208, 264, 286, 312, 352, 416, 429, 528, 572, 624, 704, 832, 858, 1056, 1144, 1248, 1716, 2112, 2288, 2496, 3432, 4576, 6864, 9152, 13728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27450 and 27456. The biggest common factor number is the GCF number.
So the greatest common factor 27450 and 27456 is 6.

Also check out the Least Common Multiple of 27450 and 27456