What is the Greatest Common Factor of 48714 and 48734?

Greatest common factor (GCF) of 48714 and 48734 is 2.

GCF(48714,48734) = 2

We will now calculate the prime factors of 48714 and 48734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48714 and 48734.

How to find the GCF of 48714 and 48734?

We will first find the prime factorization of 48714 and 48734. After we will calculate the factors of 48714 and 48734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48734

Prime factors of 48734 are 2, 7, 59. Prime factorization of 48734 in exponential form is:

48734 = 2¹ × 7¹ × 59²

Step-3: Factors of 48714

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

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

Step-4: Factors of 48734

List of positive integer factors of 48734 that divides 48714 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826, 3481, 6962, 24367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48714 and 48734. The biggest common factor number is the GCF number.
So the greatest common factor 48714 and 48734 is 2.

Also check out the Least Common Multiple of 48714 and 48734