What is the Greatest Common Factor of 62445 and 62460?

Greatest common factor (GCF) of 62445 and 62460 is 15.

GCF(62445,62460) = 15

We will now calculate the prime factors of 62445 and 62460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62445 and 62460.

How to find the GCF of 62445 and 62460?

We will first find the prime factorization of 62445 and 62460. After we will calculate the factors of 62445 and 62460 and find the biggest common factor number .

Step-1: Prime Factorization of 62445

Prime factors of 62445 are 3, 5, 23, 181. Prime factorization of 62445 in exponential form is:

62445 = 3¹ × 5¹ × 23¹ × 181¹

Step-2: Prime Factorization of 62460

Prime factors of 62460 are 2, 3, 5, 347. Prime factorization of 62460 in exponential form is:

62460 = 2² × 3² × 5¹ × 347¹

Step-3: Factors of 62445

List of positive integer factors of 62445 that divides 62445 without a remainder.

1, 3, 5, 15, 23, 69, 115, 181, 345, 543, 905, 2715, 4163, 12489, 20815

Step-4: Factors of 62460

List of positive integer factors of 62460 that divides 62445 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 347, 694, 1041, 1388, 1735, 2082, 3123, 3470, 4164, 5205, 6246, 6940, 10410, 12492, 15615, 20820, 31230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62445 and 62460. The biggest common factor number is the GCF number.
So the greatest common factor 62445 and 62460 is 15.

Also check out the Least Common Multiple of 62445 and 62460