What is the Greatest Common Factor of 48464 and 48480?

Greatest common factor (GCF) of 48464 and 48480 is 16.

GCF(48464,48480) = 16

We will now calculate the prime factors of 48464 and 48480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48464 and 48480.

How to find the GCF of 48464 and 48480?

We will first find the prime factorization of 48464 and 48480. After we will calculate the factors of 48464 and 48480 and find the biggest common factor number .

Step-1: Prime Factorization of 48464

Prime factors of 48464 are 2, 13, 233. Prime factorization of 48464 in exponential form is:

48464 = 2⁴ × 13¹ × 233¹

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 48464

List of positive integer factors of 48464 that divides 48464 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 233, 466, 932, 1864, 3029, 3728, 6058, 12116, 24232

Step-4: Factors of 48480

List of positive integer factors of 48480 that divides 48464 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 48464 and 48480. The biggest common factor number is the GCF number.
So the greatest common factor 48464 and 48480 is 16.

Also check out the Least Common Multiple of 48464 and 48480