What is the Greatest Common Factor of 76472 and 76483?

Greatest common factor (GCF) of 76472 and 76483 is 11.

GCF(76472,76483) = 11

We will now calculate the prime factors of 76472 and 76483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76472 and 76483.

How to find the GCF of 76472 and 76483?

We will first find the prime factorization of 76472 and 76483. After we will calculate the factors of 76472 and 76483 and find the biggest common factor number .

Step-1: Prime Factorization of 76472

Prime factors of 76472 are 2, 11, 79. Prime factorization of 76472 in exponential form is:

76472 = 2³ × 11² × 79¹

Step-2: Prime Factorization of 76483

Prime factors of 76483 are 11, 17, 409. Prime factorization of 76483 in exponential form is:

76483 = 11¹ × 17¹ × 409¹

Step-3: Factors of 76472

List of positive integer factors of 76472 that divides 76472 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 121, 158, 242, 316, 484, 632, 869, 968, 1738, 3476, 6952, 9559, 19118, 38236

Step-4: Factors of 76483

List of positive integer factors of 76483 that divides 76472 without a remainder.

1, 11, 17, 187, 409, 4499, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76472 and 76483. The biggest common factor number is the GCF number.
So the greatest common factor 76472 and 76483 is 11.

Also check out the Least Common Multiple of 76472 and 76483