What is the Greatest Common Factor of 27510 and 27515?

Greatest common factor (GCF) of 27510 and 27515 is 5.

GCF(27510,27515) = 5

We will now calculate the prime factors of 27510 and 27515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27510 and 27515.

How to find the GCF of 27510 and 27515?

We will first find the prime factorization of 27510 and 27515. After we will calculate the factors of 27510 and 27515 and find the biggest common factor number .

Step-1: Prime Factorization of 27510

Prime factors of 27510 are 2, 3, 5, 7, 131. Prime factorization of 27510 in exponential form is:

27510 = 2¹ × 3¹ × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 27515

Prime factors of 27515 are 5, 5503. Prime factorization of 27515 in exponential form is:

27515 = 5¹ × 5503¹

Step-3: Factors of 27510

List of positive integer factors of 27510 that divides 27510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 131, 210, 262, 393, 655, 786, 917, 1310, 1834, 1965, 2751, 3930, 4585, 5502, 9170, 13755

Step-4: Factors of 27515

List of positive integer factors of 27515 that divides 27510 without a remainder.

1, 5, 5503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27510 and 27515. The biggest common factor number is the GCF number.
So the greatest common factor 27510 and 27515 is 5.

Also check out the Least Common Multiple of 27510 and 27515