What is the Greatest Common Factor of 49428 and 49440?

Greatest common factor (GCF) of 49428 and 49440 is 12.

GCF(49428,49440) = 12

We will now calculate the prime factors of 49428 and 49440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49428 and 49440.

How to find the GCF of 49428 and 49440?

We will first find the prime factorization of 49428 and 49440. After we will calculate the factors of 49428 and 49440 and find the biggest common factor number .

Step-1: Prime Factorization of 49428

Prime factors of 49428 are 2, 3, 1373. Prime factorization of 49428 in exponential form is:

49428 = 2² × 3² × 1373¹

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 49428

List of positive integer factors of 49428 that divides 49428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1373, 2746, 4119, 5492, 8238, 12357, 16476, 24714

Step-4: Factors of 49440

List of positive integer factors of 49440 that divides 49428 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 49428 and 49440. The biggest common factor number is the GCF number.
So the greatest common factor 49428 and 49440 is 12.

Also check out the Least Common Multiple of 49428 and 49440