What is the Greatest Common Factor of 62448 and 62460?

Greatest common factor (GCF) of 62448 and 62460 is 12.

GCF(62448,62460) = 12

We will now calculate the prime factors of 62448 and 62460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62448 and 62460.

How to find the GCF of 62448 and 62460?

We will first find the prime factorization of 62448 and 62460. After we will calculate the factors of 62448 and 62460 and find the biggest common factor number .

Step-1: Prime Factorization of 62448

Prime factors of 62448 are 2, 3, 1301. Prime factorization of 62448 in exponential form is:

62448 = 2⁴ × 3¹ × 1301¹

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 62448

List of positive integer factors of 62448 that divides 62448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408, 15612, 20816, 31224

Step-4: Factors of 62460

List of positive integer factors of 62460 that divides 62448 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 62448 and 62460. The biggest common factor number is the GCF number.
So the greatest common factor 62448 and 62460 is 12.

Also check out the Least Common Multiple of 62448 and 62460