What is the Greatest Common Factor of 69148 and 69163?

Greatest common factor (GCF) of 69148 and 69163 is 1.

GCF(69148,69163) = 1

We will now calculate the prime factors of 69148 and 69163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69148 and 69163.

How to find the GCF of 69148 and 69163?

We will first find the prime factorization of 69148 and 69163. After we will calculate the factors of 69148 and 69163 and find the biggest common factor number .

Step-1: Prime Factorization of 69148

Prime factors of 69148 are 2, 59, 293. Prime factorization of 69148 in exponential form is:

69148 = 2² × 59¹ × 293¹

Step-2: Prime Factorization of 69163

Prime factors of 69163 are 69163. Prime factorization of 69163 in exponential form is:

69163 = 69163¹

Step-3: Factors of 69148

List of positive integer factors of 69148 that divides 69148 without a remainder.

1, 2, 4, 59, 118, 236, 293, 586, 1172, 17287, 34574

Step-4: Factors of 69163

List of positive integer factors of 69163 that divides 69148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69148 and 69163. The biggest common factor number is the GCF number.
So the greatest common factor 69148 and 69163 is 1.

Also check out the Least Common Multiple of 69148 and 69163