What is the Greatest Common Factor of 71238 and 71253?

Greatest common factor (GCF) of 71238 and 71253 is 3.

GCF(71238,71253) = 3

We will now calculate the prime factors of 71238 and 71253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71238 and 71253.

How to find the GCF of 71238 and 71253?

We will first find the prime factorization of 71238 and 71253. After we will calculate the factors of 71238 and 71253 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 71253

Prime factors of 71253 are 3, 7, 13, 29. Prime factorization of 71253 in exponential form is:

71253 = 3³ × 7¹ × 13¹ × 29¹

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 71253

List of positive integer factors of 71253 that divides 71238 without a remainder.

1, 3, 7, 9, 13, 21, 27, 29, 39, 63, 87, 91, 117, 189, 203, 261, 273, 351, 377, 609, 783, 819, 1131, 1827, 2457, 2639, 3393, 5481, 7917, 10179, 23751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71238 and 71253. The biggest common factor number is the GCF number.
So the greatest common factor 71238 and 71253 is 3.

Also check out the Least Common Multiple of 71238 and 71253