What is the Greatest Common Factor of 7462 and 7475?

Greatest common factor (GCF) of 7462 and 7475 is 13.

GCF(7462,7475) = 13

We will now calculate the prime factors of 7462 and 7475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7462 and 7475.

How to find the GCF of 7462 and 7475?

We will first find the prime factorization of 7462 and 7475. After we will calculate the factors of 7462 and 7475 and find the biggest common factor number .

Step-1: Prime Factorization of 7462

Prime factors of 7462 are 2, 7, 13, 41. Prime factorization of 7462 in exponential form is:

7462 = 2¹ × 7¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731

Step-4: Factors of 7475

List of positive integer factors of 7475 that divides 7462 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7462 and 7475. The biggest common factor number is the GCF number.
So the greatest common factor 7462 and 7475 is 13.

Also check out the Least Common Multiple of 7462 and 7475