What is the Greatest Common Factor of 7456 and 7474?

Greatest common factor (GCF) of 7456 and 7474 is 2.

GCF(7456,7474) = 2

We will now calculate the prime factors of 7456 and 7474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7474.

How to find the GCF of 7456 and 7474?

We will first find the prime factorization of 7456 and 7474. After we will calculate the factors of 7456 and 7474 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 7474

Prime factors of 7474 are 2, 37, 101. Prime factorization of 7474 in exponential form is:

7474 = 2¹ × 37¹ × 101¹

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 7474

List of positive integer factors of 7474 that divides 7456 without a remainder.

1, 2, 37, 74, 101, 202, 3737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7474. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7474 is 2.

Also check out the Least Common Multiple of 7456 and 7474