What is the Greatest Common Factor of 7456 and 7461?

Greatest common factor (GCF) of 7456 and 7461 is 1.

GCF(7456,7461) = 1

We will now calculate the prime factors of 7456 and 7461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7461.

How to find the GCF of 7456 and 7461?

We will first find the prime factorization of 7456 and 7461. After we will calculate the factors of 7456 and 7461 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 7461

Prime factors of 7461 are 3, 829. Prime factorization of 7461 in exponential form is:

7461 = 3² × 829¹

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 7461

List of positive integer factors of 7461 that divides 7456 without a remainder.

1, 3, 9, 829, 2487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7461. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7461 is 1.

Also check out the Least Common Multiple of 7456 and 7461