What is the Greatest Common Factor of 62460 and 62465?

Greatest common factor (GCF) of 62460 and 62465 is 5.

GCF(62460,62465) = 5

We will now calculate the prime factors of 62460 and 62465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62460 and 62465.

How to find the GCF of 62460 and 62465?

We will first find the prime factorization of 62460 and 62465. After we will calculate the factors of 62460 and 62465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62465

Prime factors of 62465 are 5, 13, 31. Prime factorization of 62465 in exponential form is:

62465 = 5¹ × 13¹ × 31²

Step-3: Factors of 62460

List of positive integer factors of 62460 that divides 62460 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

Step-4: Factors of 62465

List of positive integer factors of 62465 that divides 62460 without a remainder.

1, 5, 13, 31, 65, 155, 403, 961, 2015, 4805, 12493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62460 and 62465. The biggest common factor number is the GCF number.
So the greatest common factor 62460 and 62465 is 5.

Also check out the Least Common Multiple of 62460 and 62465