What is the Greatest Common Factor of 27505 and 27510?

Greatest common factor (GCF) of 27505 and 27510 is 5.

GCF(27505,27510) = 5

We will now calculate the prime factors of 27505 and 27510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27505 and 27510.

How to find the GCF of 27505 and 27510?

We will first find the prime factorization of 27505 and 27510. After we will calculate the factors of 27505 and 27510 and find the biggest common factor number .

Step-1: Prime Factorization of 27505

Prime factors of 27505 are 5, 5501. Prime factorization of 27505 in exponential form is:

27505 = 5¹ × 5501¹

Step-2: 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-3: Factors of 27505

List of positive integer factors of 27505 that divides 27505 without a remainder.

1, 5, 5501

Step-4: Factors of 27510

List of positive integer factors of 27510 that divides 27505 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27505 and 27510. The biggest common factor number is the GCF number.
So the greatest common factor 27505 and 27510 is 5.

Also check out the Least Common Multiple of 27505 and 27510