What is the Greatest Common Factor of 48739 and 48749?

Greatest common factor (GCF) of 48739 and 48749 is 1.

GCF(48739,48749) = 1

We will now calculate the prime factors of 48739 and 48749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48739 and 48749.

How to find the GCF of 48739 and 48749?

We will first find the prime factorization of 48739 and 48749. After we will calculate the factors of 48739 and 48749 and find the biggest common factor number .

Step-1: Prime Factorization of 48739

Prime factors of 48739 are 17, 47, 61. Prime factorization of 48739 in exponential form is:

48739 = 17¹ × 47¹ × 61¹

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 48739

List of positive integer factors of 48739 that divides 48739 without a remainder.

1, 17, 47, 61, 799, 1037, 2867

Step-4: Factors of 48749

List of positive integer factors of 48749 that divides 48739 without a remainder.

1, 29, 41, 1189, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48739 and 48749. The biggest common factor number is the GCF number.
So the greatest common factor 48739 and 48749 is 1.

Also check out the Least Common Multiple of 48739 and 48749