What is the Greatest Common Factor of 7456 and 7470?

Greatest common factor (GCF) of 7456 and 7470 is 2.

GCF(7456,7470) = 2

We will now calculate the prime factors of 7456 and 7470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7470.

How to find the GCF of 7456 and 7470?

We will first find the prime factorization of 7456 and 7470. After we will calculate the factors of 7456 and 7470 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 7470

Prime factors of 7470 are 2, 3, 5, 83. Prime factorization of 7470 in exponential form is:

7470 = 2¹ × 3² × 5¹ × 83¹

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 7470

List of positive integer factors of 7470 that divides 7456 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7470. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7470 is 2.

Also check out the Least Common Multiple of 7456 and 7470