What is the Greatest Common Factor of 48956 and 48960?

Greatest common factor (GCF) of 48956 and 48960 is 4.

GCF(48956,48960) = 4

We will now calculate the prime factors of 48956 and 48960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48956 and 48960.

How to find the GCF of 48956 and 48960?

We will first find the prime factorization of 48956 and 48960. After we will calculate the factors of 48956 and 48960 and find the biggest common factor number .

Step-1: Prime Factorization of 48956

Prime factors of 48956 are 2, 12239. Prime factorization of 48956 in exponential form is:

48956 = 2² × 12239¹

Step-2: Prime Factorization of 48960

Prime factors of 48960 are 2, 3, 5, 17. Prime factorization of 48960 in exponential form is:

48960 = 2⁶ × 3² × 5¹ × 17¹

Step-3: Factors of 48956

List of positive integer factors of 48956 that divides 48956 without a remainder.

1, 2, 4, 12239, 24478

Step-4: Factors of 48960

List of positive integer factors of 48960 that divides 48956 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 64, 68, 72, 80, 85, 90, 96, 102, 120, 136, 144, 153, 160, 170, 180, 192, 204, 240, 255, 272, 288, 306, 320, 340, 360, 408, 480, 510, 544, 576, 612, 680, 720, 765, 816, 960, 1020, 1088, 1224, 1360, 1440, 1530, 1632, 2040, 2448, 2720, 2880, 3060, 3264, 4080, 4896, 5440, 6120, 8160, 9792, 12240, 16320, 24480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48956 and 48960. The biggest common factor number is the GCF number.
So the greatest common factor 48956 and 48960 is 4.

Also check out the Least Common Multiple of 48956 and 48960