What is the Greatest Common Factor of 71225 and 71238?

Greatest common factor (GCF) of 71225 and 71238 is 1.

GCF(71225,71238) = 1

We will now calculate the prime factors of 71225 and 71238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71225 and 71238.

How to find the GCF of 71225 and 71238?

We will first find the prime factorization of 71225 and 71238. After we will calculate the factors of 71225 and 71238 and find the biggest common factor number .

Step-1: Prime Factorization of 71225

Prime factors of 71225 are 5, 7, 11, 37. Prime factorization of 71225 in exponential form is:

71225 = 5² × 7¹ × 11¹ × 37¹

Step-2: 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-3: Factors of 71225

List of positive integer factors of 71225 that divides 71225 without a remainder.

1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925, 1295, 1925, 2035, 2849, 6475, 10175, 14245

Step-4: Factors of 71238

List of positive integer factors of 71238 that divides 71225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71225 and 71238. The biggest common factor number is the GCF number.
So the greatest common factor 71225 and 71238 is 1.

Also check out the Least Common Multiple of 71225 and 71238