What is the Greatest Common Factor of 49007 and 49023?

Greatest common factor (GCF) of 49007 and 49023 is 1.

GCF(49007,49023) = 1

We will now calculate the prime factors of 49007 and 49023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49007 and 49023.

How to find the GCF of 49007 and 49023?

We will first find the prime factorization of 49007 and 49023. After we will calculate the factors of 49007 and 49023 and find the biggest common factor number .

Step-1: Prime Factorization of 49007

Prime factors of 49007 are 7, 7001. Prime factorization of 49007 in exponential form is:

49007 = 7¹ × 7001¹

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 49007

List of positive integer factors of 49007 that divides 49007 without a remainder.

1, 7, 7001

Step-4: Factors of 49023

List of positive integer factors of 49023 that divides 49007 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 49007 and 49023. The biggest common factor number is the GCF number.
So the greatest common factor 49007 and 49023 is 1.

Also check out the Least Common Multiple of 49007 and 49023