What is the Greatest Common Factor of 7463 and 7476?

Greatest common factor (GCF) of 7463 and 7476 is 1.

GCF(7463,7476) = 1

We will now calculate the prime factors of 7463 and 7476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7463 and 7476.

How to find the GCF of 7463 and 7476?

We will first find the prime factorization of 7463 and 7476. After we will calculate the factors of 7463 and 7476 and find the biggest common factor number .

Step-1: Prime Factorization of 7463

Prime factors of 7463 are 17, 439. Prime factorization of 7463 in exponential form is:

7463 = 17¹ × 439¹

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 7463

List of positive integer factors of 7463 that divides 7463 without a remainder.

1, 17, 439

Step-4: Factors of 7476

List of positive integer factors of 7476 that divides 7463 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 7463 and 7476. The biggest common factor number is the GCF number.
So the greatest common factor 7463 and 7476 is 1.

Also check out the Least Common Multiple of 7463 and 7476