What is the Greatest Common Factor of 48704 and 48708?

Greatest common factor (GCF) of 48704 and 48708 is 4.

GCF(48704,48708) = 4

We will now calculate the prime factors of 48704 and 48708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48704 and 48708.

How to find the GCF of 48704 and 48708?

We will first find the prime factorization of 48704 and 48708. After we will calculate the factors of 48704 and 48708 and find the biggest common factor number .

Step-1: Prime Factorization of 48704

Prime factors of 48704 are 2, 761. Prime factorization of 48704 in exponential form is:

48704 = 2⁶ × 761¹

Step-2: 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-3: Factors of 48704

List of positive integer factors of 48704 that divides 48704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 761, 1522, 3044, 6088, 12176, 24352

Step-4: Factors of 48708

List of positive integer factors of 48708 that divides 48704 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48704 and 48708. The biggest common factor number is the GCF number.
So the greatest common factor 48704 and 48708 is 4.

Also check out the Least Common Multiple of 48704 and 48708