What is the Greatest Common Factor of 7456 and 7462?

Greatest common factor (GCF) of 7456 and 7462 is 2.

GCF(7456,7462) = 2

We will now calculate the prime factors of 7456 and 7462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7462.

How to find the GCF of 7456 and 7462?

We will first find the prime factorization of 7456 and 7462. After we will calculate the factors of 7456 and 7462 and find the biggest common factor number .

Step-1: Prime Factorization of 7456

Prime factors of 7456 are 2, 233. Prime factorization of 7456 in exponential form is:

7456 = 2⁵ × 233¹

Step-2: 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-3: Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728

Step-4: Factors of 7462

List of positive integer factors of 7462 that divides 7456 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7462. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7462 is 2.

Also check out the Least Common Multiple of 7456 and 7462