What is the Greatest Common Factor of 70023 and 70027?

Greatest common factor (GCF) of 70023 and 70027 is 1.

GCF(70023,70027) = 1

We will now calculate the prime factors of 70023 and 70027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70023 and 70027.

How to find the GCF of 70023 and 70027?

We will first find the prime factorization of 70023 and 70027. After we will calculate the factors of 70023 and 70027 and find the biggest common factor number .

Step-1: Prime Factorization of 70023

Prime factors of 70023 are 3, 17, 1373. Prime factorization of 70023 in exponential form is:

70023 = 3¹ × 17¹ × 1373¹

Step-2: Prime Factorization of 70027

Prime factors of 70027 are 239, 293. Prime factorization of 70027 in exponential form is:

70027 = 239¹ × 293¹

Step-3: Factors of 70023

List of positive integer factors of 70023 that divides 70023 without a remainder.

1, 3, 17, 51, 1373, 4119, 23341

Step-4: Factors of 70027

List of positive integer factors of 70027 that divides 70023 without a remainder.

1, 239, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70023 and 70027. The biggest common factor number is the GCF number.
So the greatest common factor 70023 and 70027 is 1.

Also check out the Least Common Multiple of 70023 and 70027