What is the Greatest Common Factor of 10049 and 10069?

Greatest common factor (GCF) of 10049 and 10069 is 1.

GCF(10049,10069) = 1

We will now calculate the prime factors of 10049 and 10069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10049 and 10069.

How to find the GCF of 10049 and 10069?

We will first find the prime factorization of 10049 and 10069. After we will calculate the factors of 10049 and 10069 and find the biggest common factor number .

Step-1: Prime Factorization of 10049

Prime factors of 10049 are 13, 773. Prime factorization of 10049 in exponential form is:

10049 = 13¹ × 773¹

Step-2: Prime Factorization of 10069

Prime factors of 10069 are 10069. Prime factorization of 10069 in exponential form is:

10069 = 10069¹

Step-3: Factors of 10049

List of positive integer factors of 10049 that divides 10049 without a remainder.

1, 13, 773

Step-4: Factors of 10069

List of positive integer factors of 10069 that divides 10049 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10049 and 10069. The biggest common factor number is the GCF number.
So the greatest common factor 10049 and 10069 is 1.

Also check out the Least Common Multiple of 10049 and 10069