What is the Greatest Common Factor of 48462 and 48480?

Greatest common factor (GCF) of 48462 and 48480 is 6.

GCF(48462,48480) = 6

We will now calculate the prime factors of 48462 and 48480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48462 and 48480.

How to find the GCF of 48462 and 48480?

We will first find the prime factorization of 48462 and 48480. After we will calculate the factors of 48462 and 48480 and find the biggest common factor number .

Step-1: Prime Factorization of 48462

Prime factors of 48462 are 2, 3, 41, 197. Prime factorization of 48462 in exponential form is:

48462 = 2¹ × 3¹ × 41¹ × 197¹

Step-2: Prime Factorization of 48480

Prime factors of 48480 are 2, 3, 5, 101. Prime factorization of 48480 in exponential form is:

48480 = 2⁵ × 3¹ × 5¹ × 101¹

Step-3: Factors of 48462

List of positive integer factors of 48462 that divides 48462 without a remainder.

1, 2, 3, 6, 41, 82, 123, 197, 246, 394, 591, 1182, 8077, 16154, 24231

Step-4: Factors of 48480

List of positive integer factors of 48480 that divides 48462 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 101, 120, 160, 202, 240, 303, 404, 480, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 3232, 4040, 4848, 6060, 8080, 9696, 12120, 16160, 24240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48462 and 48480. The biggest common factor number is the GCF number.
So the greatest common factor 48462 and 48480 is 6.

Also check out the Least Common Multiple of 48462 and 48480