What is the Greatest Common Factor of 27600 and 27615?

Greatest common factor (GCF) of 27600 and 27615 is 15.

GCF(27600,27615) = 15

We will now calculate the prime factors of 27600 and 27615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27600 and 27615.

How to find the GCF of 27600 and 27615?

We will first find the prime factorization of 27600 and 27615. After we will calculate the factors of 27600 and 27615 and find the biggest common factor number .

Step-1: Prime Factorization of 27600

Prime factors of 27600 are 2, 3, 5, 23. Prime factorization of 27600 in exponential form is:

27600 = 2⁴ × 3¹ × 5² × 23¹

Step-2: Prime Factorization of 27615

Prime factors of 27615 are 3, 5, 7, 263. Prime factorization of 27615 in exponential form is:

27615 = 3¹ × 5¹ × 7¹ × 263¹

Step-3: Factors of 27600

List of positive integer factors of 27600 that divides 27600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 40, 46, 48, 50, 60, 69, 75, 80, 92, 100, 115, 120, 138, 150, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 552, 575, 600, 690, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2300, 2760, 3450, 4600, 5520, 6900, 9200, 13800

Step-4: Factors of 27615

List of positive integer factors of 27615 that divides 27600 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 263, 789, 1315, 1841, 3945, 5523, 9205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27600 and 27615. The biggest common factor number is the GCF number.
So the greatest common factor 27600 and 27615 is 15.

Also check out the Least Common Multiple of 27600 and 27615