What is the Greatest Common Factor of 62271 and 62280?

Greatest common factor (GCF) of 62271 and 62280 is 9.

GCF(62271,62280) = 9

We will now calculate the prime factors of 62271 and 62280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62271 and 62280.

How to find the GCF of 62271 and 62280?

We will first find the prime factorization of 62271 and 62280. After we will calculate the factors of 62271 and 62280 and find the biggest common factor number .

Step-1: Prime Factorization of 62271

Prime factors of 62271 are 3, 11, 17, 37. Prime factorization of 62271 in exponential form is:

62271 = 3² × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 62280

Prime factors of 62280 are 2, 3, 5, 173. Prime factorization of 62280 in exponential form is:

62280 = 2³ × 3² × 5¹ × 173¹

Step-3: Factors of 62271

List of positive integer factors of 62271 that divides 62271 without a remainder.

1, 3, 9, 11, 17, 33, 37, 51, 99, 111, 153, 187, 333, 407, 561, 629, 1221, 1683, 1887, 3663, 5661, 6919, 20757

Step-4: Factors of 62280

List of positive integer factors of 62280 that divides 62271 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 173, 180, 346, 360, 519, 692, 865, 1038, 1384, 1557, 1730, 2076, 2595, 3114, 3460, 4152, 5190, 6228, 6920, 7785, 10380, 12456, 15570, 20760, 31140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62271 and 62280. The biggest common factor number is the GCF number.
So the greatest common factor 62271 and 62280 is 9.

Also check out the Least Common Multiple of 62271 and 62280