What is the Greatest Common Factor of 48432 and 48440?

Greatest common factor (GCF) of 48432 and 48440 is 8.

GCF(48432,48440) = 8

We will now calculate the prime factors of 48432 and 48440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48432 and 48440.

How to find the GCF of 48432 and 48440?

We will first find the prime factorization of 48432 and 48440. After we will calculate the factors of 48432 and 48440 and find the biggest common factor number .

Step-1: Prime Factorization of 48432

Prime factors of 48432 are 2, 3, 1009. Prime factorization of 48432 in exponential form is:

48432 = 2⁴ × 3¹ × 1009¹

Step-2: Prime Factorization of 48440

Prime factors of 48440 are 2, 5, 7, 173. Prime factorization of 48440 in exponential form is:

48440 = 2³ × 5¹ × 7¹ × 173¹

Step-3: Factors of 48432

List of positive integer factors of 48432 that divides 48432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216

Step-4: Factors of 48440

List of positive integer factors of 48440 that divides 48432 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 173, 280, 346, 692, 865, 1211, 1384, 1730, 2422, 3460, 4844, 6055, 6920, 9688, 12110, 24220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48432 and 48440. The biggest common factor number is the GCF number.
So the greatest common factor 48432 and 48440 is 8.

Also check out the Least Common Multiple of 48432 and 48440