What is the Greatest Common Factor of 48671 and 48691?

Greatest common factor (GCF) of 48671 and 48691 is 1.

GCF(48671,48691) = 1

We will now calculate the prime factors of 48671 and 48691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48671 and 48691.

How to find the GCF of 48671 and 48691?

We will first find the prime factorization of 48671 and 48691. After we will calculate the factors of 48671 and 48691 and find the biggest common factor number .

Step-1: Prime Factorization of 48671

Prime factors of 48671 are 7, 17, 409. Prime factorization of 48671 in exponential form is:

48671 = 7¹ × 17¹ × 409¹

Step-2: Prime Factorization of 48691

Prime factors of 48691 are 23, 29, 73. Prime factorization of 48691 in exponential form is:

48691 = 23¹ × 29¹ × 73¹

Step-3: Factors of 48671

List of positive integer factors of 48671 that divides 48671 without a remainder.

1, 7, 17, 119, 409, 2863, 6953

Step-4: Factors of 48691

List of positive integer factors of 48691 that divides 48671 without a remainder.

1, 23, 29, 73, 667, 1679, 2117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48671 and 48691. The biggest common factor number is the GCF number.
So the greatest common factor 48671 and 48691 is 1.

Also check out the Least Common Multiple of 48671 and 48691