What is the Greatest Common Factor of 27510 and 27519?

Greatest common factor (GCF) of 27510 and 27519 is 3.

GCF(27510,27519) = 3

We will now calculate the prime factors of 27510 and 27519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27510 and 27519.

How to find the GCF of 27510 and 27519?

We will first find the prime factorization of 27510 and 27519. After we will calculate the factors of 27510 and 27519 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 27519

Prime factors of 27519 are 3, 9173. Prime factorization of 27519 in exponential form is:

27519 = 3¹ × 9173¹

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 27519

List of positive integer factors of 27519 that divides 27510 without a remainder.

1, 3, 9173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27510 and 27519. The biggest common factor number is the GCF number.
So the greatest common factor 27510 and 27519 is 3.

Also check out the Least Common Multiple of 27510 and 27519