What is the Greatest Common Factor of 49431 and 49440?

Greatest common factor (GCF) of 49431 and 49440 is 3.

GCF(49431,49440) = 3

We will now calculate the prime factors of 49431 and 49440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49431 and 49440.

How to find the GCF of 49431 and 49440?

We will first find the prime factorization of 49431 and 49440. After we will calculate the factors of 49431 and 49440 and find the biggest common factor number .

Step-1: Prime Factorization of 49431

Prime factors of 49431 are 3, 16477. Prime factorization of 49431 in exponential form is:

49431 = 3¹ × 16477¹

Step-2: Prime Factorization of 49440

Prime factors of 49440 are 2, 3, 5, 103. Prime factorization of 49440 in exponential form is:

49440 = 2⁵ × 3¹ × 5¹ × 103¹

Step-3: Factors of 49431

List of positive integer factors of 49431 that divides 49431 without a remainder.

1, 3, 16477

Step-4: Factors of 49440

List of positive integer factors of 49440 that divides 49431 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 103, 120, 160, 206, 240, 309, 412, 480, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 8240, 9888, 12360, 16480, 24720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49431 and 49440. The biggest common factor number is the GCF number.
So the greatest common factor 49431 and 49440 is 3.

Also check out the Least Common Multiple of 49431 and 49440