What is the Greatest Common Factor of 71238 and 71249?

Greatest common factor (GCF) of 71238 and 71249 is 1.

GCF(71238,71249) = 1

We will now calculate the prime factors of 71238 and 71249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71238 and 71249.

How to find the GCF of 71238 and 71249?

We will first find the prime factorization of 71238 and 71249. After we will calculate the factors of 71238 and 71249 and find the biggest common factor number .

Step-1: Prime Factorization of 71238

Prime factors of 71238 are 2, 3, 31, 383. Prime factorization of 71238 in exponential form is:

71238 = 2¹ × 3¹ × 31¹ × 383¹

Step-2: Prime Factorization of 71249

Prime factors of 71249 are 71249. Prime factorization of 71249 in exponential form is:

71249 = 71249¹

Step-3: Factors of 71238

List of positive integer factors of 71238 that divides 71238 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 383, 766, 1149, 2298, 11873, 23746, 35619

Step-4: Factors of 71249

List of positive integer factors of 71249 that divides 71238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71238 and 71249. The biggest common factor number is the GCF number.
So the greatest common factor 71238 and 71249 is 1.

Also check out the Least Common Multiple of 71238 and 71249