What is the Greatest Common Factor of 7456 and 7476?

Greatest common factor (GCF) of 7456 and 7476 is 4.

GCF(7456,7476) = 4

We will now calculate the prime factors of 7456 and 7476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7456 and 7476.

How to find the GCF of 7456 and 7476?

We will first find the prime factorization of 7456 and 7476. After we will calculate the factors of 7456 and 7476 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 7476

Prime factors of 7476 are 2, 3, 7, 89. Prime factorization of 7476 in exponential form is:

7476 = 2² × 3¹ × 7¹ × 89¹

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 7476

List of positive integer factors of 7476 that divides 7456 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7456 and 7476. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7476 is 4.

Also check out the Least Common Multiple of 7456 and 7476