What is the Greatest Common Factor of 5235 and 5240?

Greatest common factor (GCF) of 5235 and 5240 is 5.

GCF(5235,5240) = 5

We will now calculate the prime factors of 5235 and 5240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5235 and 5240.

How to find the GCF of 5235 and 5240?

We will first find the prime factorization of 5235 and 5240. After we will calculate the factors of 5235 and 5240 and find the biggest common factor number .

Step-1: Prime Factorization of 5235

Prime factors of 5235 are 3, 5, 349. Prime factorization of 5235 in exponential form is:

5235 = 3¹ × 5¹ × 349¹

Step-2: Prime Factorization of 5240

Prime factors of 5240 are 2, 5, 131. Prime factorization of 5240 in exponential form is:

5240 = 2³ × 5¹ × 131¹

Step-3: Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1, 3, 5, 15, 349, 1047, 1745

Step-4: Factors of 5240

List of positive integer factors of 5240 that divides 5235 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5235 and 5240. The biggest common factor number is the GCF number.
So the greatest common factor 5235 and 5240 is 5.

Also check out the Least Common Multiple of 5235 and 5240