What is the Greatest Common Factor of 48701 and 48719?

Greatest common factor (GCF) of 48701 and 48719 is 1.

GCF(48701,48719) = 1

We will now calculate the prime factors of 48701 and 48719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48701 and 48719.

How to find the GCF of 48701 and 48719?

We will first find the prime factorization of 48701 and 48719. After we will calculate the factors of 48701 and 48719 and find the biggest common factor number .

Step-1: Prime Factorization of 48701

Prime factors of 48701 are 31, 1571. Prime factorization of 48701 in exponential form is:

48701 = 31¹ × 1571¹

Step-2: Prime Factorization of 48719

Prime factors of 48719 are 11, 43, 103. Prime factorization of 48719 in exponential form is:

48719 = 11¹ × 43¹ × 103¹

Step-3: Factors of 48701

List of positive integer factors of 48701 that divides 48701 without a remainder.

1, 31, 1571

Step-4: Factors of 48719

List of positive integer factors of 48719 that divides 48701 without a remainder.

1, 11, 43, 103, 473, 1133, 4429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48701 and 48719. The biggest common factor number is the GCF number.
So the greatest common factor 48701 and 48719 is 1.

Also check out the Least Common Multiple of 48701 and 48719