What is the Greatest Common Factor of 48480 and 48492?

Greatest common factor (GCF) of 48480 and 48492 is 12.

GCF(48480,48492) = 12

We will now calculate the prime factors of 48480 and 48492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48480 and 48492.

How to find the GCF of 48480 and 48492?

We will first find the prime factorization of 48480 and 48492. After we will calculate the factors of 48480 and 48492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48492

Prime factors of 48492 are 2, 3, 449. Prime factorization of 48492 in exponential form is:

48492 = 2² × 3³ × 449¹

Step-3: Factors of 48480

List of positive integer factors of 48480 that divides 48480 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

Step-4: Factors of 48492

List of positive integer factors of 48492 that divides 48480 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 449, 898, 1347, 1796, 2694, 4041, 5388, 8082, 12123, 16164, 24246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48480 and 48492. The biggest common factor number is the GCF number.
So the greatest common factor 48480 and 48492 is 12.

Also check out the Least Common Multiple of 48480 and 48492