What is the Greatest Common Factor of 48019 and 48026?

Greatest common factor (GCF) of 48019 and 48026 is 1.

GCF(48019,48026) = 1

We will now calculate the prime factors of 48019 and 48026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48019 and 48026.

How to find the GCF of 48019 and 48026?

We will first find the prime factorization of 48019 and 48026. After we will calculate the factors of 48019 and 48026 and find the biggest common factor number .

Step-1: Prime Factorization of 48019

Prime factors of 48019 are 31, 1549. Prime factorization of 48019 in exponential form is:

48019 = 31¹ × 1549¹

Step-2: Prime Factorization of 48026

Prime factors of 48026 are 2, 11, 37, 59. Prime factorization of 48026 in exponential form is:

48026 = 2¹ × 11¹ × 37¹ × 59¹

Step-3: Factors of 48019

List of positive integer factors of 48019 that divides 48019 without a remainder.

1, 31, 1549

Step-4: Factors of 48026

List of positive integer factors of 48026 that divides 48019 without a remainder.

1, 2, 11, 22, 37, 59, 74, 118, 407, 649, 814, 1298, 2183, 4366, 24013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48019 and 48026. The biggest common factor number is the GCF number.
So the greatest common factor 48019 and 48026 is 1.

Also check out the Least Common Multiple of 48019 and 48026