What is the Greatest Common Factor of 48706 and 48720?

Greatest common factor (GCF) of 48706 and 48720 is 14.

GCF(48706,48720) = 14

We will now calculate the prime factors of 48706 and 48720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48706 and 48720.

How to find the GCF of 48706 and 48720?

We will first find the prime factorization of 48706 and 48720. After we will calculate the factors of 48706 and 48720 and find the biggest common factor number .

Step-1: Prime Factorization of 48706

Prime factors of 48706 are 2, 7, 71. Prime factorization of 48706 in exponential form is:

48706 = 2¹ × 7³ × 71¹

Step-2: Prime Factorization of 48720

Prime factors of 48720 are 2, 3, 5, 7, 29. Prime factorization of 48720 in exponential form is:

48720 = 2⁴ × 3¹ × 5¹ × 7¹ × 29¹

Step-3: Factors of 48706

List of positive integer factors of 48706 that divides 48706 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 343, 497, 686, 994, 3479, 6958, 24353

Step-4: Factors of 48720

List of positive integer factors of 48720 that divides 48706 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48706 and 48720. The biggest common factor number is the GCF number.
So the greatest common factor 48706 and 48720 is 14.

Also check out the Least Common Multiple of 48706 and 48720