What is the Greatest Common Factor of 48738 and 48749?

Greatest common factor (GCF) of 48738 and 48749 is 1.

GCF(48738,48749) = 1

We will now calculate the prime factors of 48738 and 48749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48738 and 48749.

How to find the GCF of 48738 and 48749?

We will first find the prime factorization of 48738 and 48749. After we will calculate the factors of 48738 and 48749 and find the biggest common factor number .

Step-1: Prime Factorization of 48738

Prime factors of 48738 are 2, 3, 8123. Prime factorization of 48738 in exponential form is:

48738 = 2¹ × 3¹ × 8123¹

Step-2: Prime Factorization of 48749

Prime factors of 48749 are 29, 41. Prime factorization of 48749 in exponential form is:

48749 = 29¹ × 41²

Step-3: Factors of 48738

List of positive integer factors of 48738 that divides 48738 without a remainder.

1, 2, 3, 6, 8123, 16246, 24369

Step-4: Factors of 48749

List of positive integer factors of 48749 that divides 48738 without a remainder.

1, 29, 41, 1189, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48738 and 48749. The biggest common factor number is the GCF number.
So the greatest common factor 48738 and 48749 is 1.

Also check out the Least Common Multiple of 48738 and 48749