What is the Greatest Common Factor of 69071 and 69087?

Greatest common factor (GCF) of 69071 and 69087 is 1.

GCF(69071,69087) = 1

We will now calculate the prime factors of 69071 and 69087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69071 and 69087.

How to find the GCF of 69071 and 69087?

We will first find the prime factorization of 69071 and 69087. After we will calculate the factors of 69071 and 69087 and find the biggest common factor number .

Step-1: Prime Factorization of 69071

Prime factors of 69071 are 17, 239. Prime factorization of 69071 in exponential form is:

69071 = 17² × 239¹

Step-2: Prime Factorization of 69087

Prime factors of 69087 are 3, 23029. Prime factorization of 69087 in exponential form is:

69087 = 3¹ × 23029¹

Step-3: Factors of 69071

List of positive integer factors of 69071 that divides 69071 without a remainder.

1, 17, 239, 289, 4063

Step-4: Factors of 69087

List of positive integer factors of 69087 that divides 69071 without a remainder.

1, 3, 23029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69071 and 69087. The biggest common factor number is the GCF number.
So the greatest common factor 69071 and 69087 is 1.

Also check out the Least Common Multiple of 69071 and 69087