What is the Greatest Common Factor of 7475 and 7488?

Greatest common factor (GCF) of 7475 and 7488 is 13.

GCF(7475,7488) = 13

We will now calculate the prime factors of 7475 and 7488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7475 and 7488.

How to find the GCF of 7475 and 7488?

We will first find the prime factorization of 7475 and 7488. After we will calculate the factors of 7475 and 7488 and find the biggest common factor number .

Step-1: Prime Factorization of 7475

Prime factors of 7475 are 5, 13, 23. Prime factorization of 7475 in exponential form is:

7475 = 5² × 13¹ × 23¹

Step-2: Prime Factorization of 7488

Prime factors of 7488 are 2, 3, 13. Prime factorization of 7488 in exponential form is:

7488 = 2⁶ × 3² × 13¹

Step-3: Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495

Step-4: Factors of 7488

List of positive integer factors of 7488 that divides 7475 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7475 and 7488. The biggest common factor number is the GCF number.
So the greatest common factor 7475 and 7488 is 13.

Also check out the Least Common Multiple of 7475 and 7488