What is the Greatest Common Factor of 76352 and 76372?

Greatest common factor (GCF) of 76352 and 76372 is 4.

GCF(76352,76372) = 4

We will now calculate the prime factors of 76352 and 76372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76352 and 76372.

How to find the GCF of 76352 and 76372?

We will first find the prime factorization of 76352 and 76372. After we will calculate the factors of 76352 and 76372 and find the biggest common factor number .

Step-1: Prime Factorization of 76352

Prime factors of 76352 are 2, 1193. Prime factorization of 76352 in exponential form is:

76352 = 2⁶ × 1193¹

Step-2: Prime Factorization of 76372

Prime factors of 76372 are 2, 61, 313. Prime factorization of 76372 in exponential form is:

76372 = 2² × 61¹ × 313¹

Step-3: Factors of 76352

List of positive integer factors of 76352 that divides 76352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1193, 2386, 4772, 9544, 19088, 38176

Step-4: Factors of 76372

List of positive integer factors of 76372 that divides 76352 without a remainder.

1, 2, 4, 61, 122, 244, 313, 626, 1252, 19093, 38186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76352 and 76372. The biggest common factor number is the GCF number.
So the greatest common factor 76352 and 76372 is 4.

Also check out the Least Common Multiple of 76352 and 76372