What is the Greatest Common Factor of 62280 and 62287?

Greatest common factor (GCF) of 62280 and 62287 is 1.

GCF(62280,62287) = 1

We will now calculate the prime factors of 62280 and 62287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62280 and 62287.

How to find the GCF of 62280 and 62287?

We will first find the prime factorization of 62280 and 62287. After we will calculate the factors of 62280 and 62287 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62287

Prime factors of 62287 are 199, 313. Prime factorization of 62287 in exponential form is:

62287 = 199¹ × 313¹

Step-3: Factors of 62280

List of positive integer factors of 62280 that divides 62280 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

Step-4: Factors of 62287

List of positive integer factors of 62287 that divides 62280 without a remainder.

1, 199, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62280 and 62287. The biggest common factor number is the GCF number.
So the greatest common factor 62280 and 62287 is 1.

Also check out the Least Common Multiple of 62280 and 62287