What is the Greatest Common Factor of 40235 and 40248?

Greatest common factor (GCF) of 40235 and 40248 is 13.

GCF(40235,40248) = 13

We will now calculate the prime factors of 40235 and 40248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40235 and 40248.

How to find the GCF of 40235 and 40248?

We will first find the prime factorization of 40235 and 40248. After we will calculate the factors of 40235 and 40248 and find the biggest common factor number .

Step-1: Prime Factorization of 40235

Prime factors of 40235 are 5, 13, 619. Prime factorization of 40235 in exponential form is:

40235 = 5¹ × 13¹ × 619¹

Step-2: Prime Factorization of 40248

Prime factors of 40248 are 2, 3, 13, 43. Prime factorization of 40248 in exponential form is:

40248 = 2³ × 3² × 13¹ × 43¹

Step-3: Factors of 40235

List of positive integer factors of 40235 that divides 40235 without a remainder.

1, 5, 13, 65, 619, 3095, 8047

Step-4: Factors of 40248

List of positive integer factors of 40248 that divides 40235 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 43, 52, 72, 78, 86, 104, 117, 129, 156, 172, 234, 258, 312, 344, 387, 468, 516, 559, 774, 936, 1032, 1118, 1548, 1677, 2236, 3096, 3354, 4472, 5031, 6708, 10062, 13416, 20124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40235 and 40248. The biggest common factor number is the GCF number.
So the greatest common factor 40235 and 40248 is 13.

Also check out the Least Common Multiple of 40235 and 40248