What is the Greatest Common Factor of 47235 and 47240?

Greatest common factor (GCF) of 47235 and 47240 is 5.

GCF(47235,47240) = 5

We will now calculate the prime factors of 47235 and 47240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47235 and 47240.

How to find the GCF of 47235 and 47240?

We will first find the prime factorization of 47235 and 47240. After we will calculate the factors of 47235 and 47240 and find the biggest common factor number .

Step-1: Prime Factorization of 47235

Prime factors of 47235 are 3, 5, 47, 67. Prime factorization of 47235 in exponential form is:

47235 = 3¹ × 5¹ × 47¹ × 67¹

Step-2: Prime Factorization of 47240

Prime factors of 47240 are 2, 5, 1181. Prime factorization of 47240 in exponential form is:

47240 = 2³ × 5¹ × 1181¹

Step-3: Factors of 47235

List of positive integer factors of 47235 that divides 47235 without a remainder.

1, 3, 5, 15, 47, 67, 141, 201, 235, 335, 705, 1005, 3149, 9447, 15745

Step-4: Factors of 47240

List of positive integer factors of 47240 that divides 47235 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1181, 2362, 4724, 5905, 9448, 11810, 23620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47235 and 47240. The biggest common factor number is the GCF number.
So the greatest common factor 47235 and 47240 is 5.

Also check out the Least Common Multiple of 47235 and 47240