What is the Greatest Common Factor of 48704 and 48714?

Greatest common factor (GCF) of 48704 and 48714 is 2.

GCF(48704,48714) = 2

We will now calculate the prime factors of 48704 and 48714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48704 and 48714.

How to find the GCF of 48704 and 48714?

We will first find the prime factorization of 48704 and 48714. After we will calculate the factors of 48704 and 48714 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 48714

Prime factors of 48714 are 2, 3, 23, 353. Prime factorization of 48714 in exponential form is:

48714 = 2¹ × 3¹ × 23¹ × 353¹

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 48714

List of positive integer factors of 48714 that divides 48704 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 353, 706, 1059, 2118, 8119, 16238, 24357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48704 and 48714. The biggest common factor number is the GCF number.
So the greatest common factor 48704 and 48714 is 2.

Also check out the Least Common Multiple of 48704 and 48714