What is the Greatest Common Factor of 48708 and 48716?

Greatest common factor (GCF) of 48708 and 48716 is 4.

GCF(48708,48716) = 4

We will now calculate the prime factors of 48708 and 48716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48708 and 48716.

How to find the GCF of 48708 and 48716?

We will first find the prime factorization of 48708 and 48716. After we will calculate the factors of 48708 and 48716 and find the biggest common factor number .

Step-1: Prime Factorization of 48708

Prime factors of 48708 are 2, 3, 11, 41. Prime factorization of 48708 in exponential form is:

48708 = 2² × 3³ × 11¹ × 41¹

Step-2: Prime Factorization of 48716

Prime factors of 48716 are 2, 19, 641. Prime factorization of 48716 in exponential form is:

48716 = 2² × 19¹ × 641¹

Step-3: Factors of 48708

List of positive integer factors of 48708 that divides 48708 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 41, 44, 54, 66, 82, 99, 108, 123, 132, 164, 198, 246, 297, 369, 396, 451, 492, 594, 738, 902, 1107, 1188, 1353, 1476, 1804, 2214, 2706, 4059, 4428, 5412, 8118, 12177, 16236, 24354

Step-4: Factors of 48716

List of positive integer factors of 48716 that divides 48708 without a remainder.

1, 2, 4, 19, 38, 76, 641, 1282, 2564, 12179, 24358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48708 and 48716. The biggest common factor number is the GCF number.
So the greatest common factor 48708 and 48716 is 4.

Also check out the Least Common Multiple of 48708 and 48716