What is the Greatest Common Factor of 40235 and 40240?

Greatest common factor (GCF) of 40235 and 40240 is 5.

GCF(40235,40240) = 5

We will now calculate the prime factors of 40235 and 40240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40235 and 40240.

How to find the GCF of 40235 and 40240?

We will first find the prime factorization of 40235 and 40240. After we will calculate the factors of 40235 and 40240 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 40240

Prime factors of 40240 are 2, 5, 503. Prime factorization of 40240 in exponential form is:

40240 = 2⁴ × 5¹ × 503¹

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 40240

List of positive integer factors of 40240 that divides 40235 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 20120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40235 and 40240. The biggest common factor number is the GCF number.
So the greatest common factor 40235 and 40240 is 5.

Also check out the Least Common Multiple of 40235 and 40240