What is the Greatest Common Factor of 49004 and 49023?

Greatest common factor (GCF) of 49004 and 49023 is 1.

GCF(49004,49023) = 1

We will now calculate the prime factors of 49004 and 49023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49004 and 49023.

How to find the GCF of 49004 and 49023?

We will first find the prime factorization of 49004 and 49023. After we will calculate the factors of 49004 and 49023 and find the biggest common factor number .

Step-1: Prime Factorization of 49004

Prime factors of 49004 are 2, 12251. Prime factorization of 49004 in exponential form is:

49004 = 2² × 12251¹

Step-2: Prime Factorization of 49023

Prime factors of 49023 are 3, 13, 419. Prime factorization of 49023 in exponential form is:

49023 = 3² × 13¹ × 419¹

Step-3: Factors of 49004

List of positive integer factors of 49004 that divides 49004 without a remainder.

1, 2, 4, 12251, 24502

Step-4: Factors of 49023

List of positive integer factors of 49023 that divides 49004 without a remainder.

1, 3, 9, 13, 39, 117, 419, 1257, 3771, 5447, 16341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49004 and 49023. The biggest common factor number is the GCF number.
So the greatest common factor 49004 and 49023 is 1.

Also check out the Least Common Multiple of 49004 and 49023