What is the Greatest Common Factor of 62280 and 62295?

Greatest common factor (GCF) of 62280 and 62295 is 15.

GCF(62280,62295) = 15

We will now calculate the prime factors of 62280 and 62295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62280 and 62295.

How to find the GCF of 62280 and 62295?

We will first find the prime factorization of 62280 and 62295. After we will calculate the factors of 62280 and 62295 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 62295

Prime factors of 62295 are 3, 5, 4153. Prime factorization of 62295 in exponential form is:

62295 = 3¹ × 5¹ × 4153¹

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 62295

List of positive integer factors of 62295 that divides 62280 without a remainder.

1, 3, 5, 15, 4153, 12459, 20765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62280 and 62295. The biggest common factor number is the GCF number.
So the greatest common factor 62280 and 62295 is 15.

Also check out the Least Common Multiple of 62280 and 62295