What is the Greatest Common Factor of 49440 and 49455?

Greatest common factor (GCF) of 49440 and 49455 is 15.

GCF(49440,49455) = 15

We will now calculate the prime factors of 49440 and 49455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49440 and 49455.

How to find the GCF of 49440 and 49455?

We will first find the prime factorization of 49440 and 49455. After we will calculate the factors of 49440 and 49455 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49455

Prime factors of 49455 are 3, 5, 7, 157. Prime factorization of 49455 in exponential form is:

49455 = 3² × 5¹ × 7¹ × 157¹

Step-3: Factors of 49440

List of positive integer factors of 49440 that divides 49440 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

Step-4: Factors of 49455

List of positive integer factors of 49455 that divides 49440 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 157, 315, 471, 785, 1099, 1413, 2355, 3297, 5495, 7065, 9891, 16485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49440 and 49455. The biggest common factor number is the GCF number.
So the greatest common factor 49440 and 49455 is 15.

Also check out the Least Common Multiple of 49440 and 49455