What is the Greatest Common Factor of 27510 and 27520?

Greatest common factor (GCF) of 27510 and 27520 is 10.

GCF(27510,27520) = 10

We will now calculate the prime factors of 27510 and 27520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27510 and 27520.

How to find the GCF of 27510 and 27520?

We will first find the prime factorization of 27510 and 27520. After we will calculate the factors of 27510 and 27520 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 27520

Prime factors of 27520 are 2, 5, 43. Prime factorization of 27520 in exponential form is:

27520 = 2⁷ × 5¹ × 43¹

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 27520

List of positive integer factors of 27520 that divides 27510 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 320, 344, 430, 640, 688, 860, 1376, 1720, 2752, 3440, 5504, 6880, 13760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27510 and 27520. The biggest common factor number is the GCF number.
So the greatest common factor 27510 and 27520 is 10.

Also check out the Least Common Multiple of 27510 and 27520