What is the Greatest Common Factor of 4370 and 4382?

Greatest common factor (GCF) of 4370 and 4382 is 2.

GCF(4370,4382) = 2

We will now calculate the prime factors of 4370 and 4382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4370 and 4382.

How to find the GCF of 4370 and 4382?

We will first find the prime factorization of 4370 and 4382. After we will calculate the factors of 4370 and 4382 and find the biggest common factor number .

Step-1: Prime Factorization of 4370

Prime factors of 4370 are 2, 5, 19, 23. Prime factorization of 4370 in exponential form is:

4370 = 2¹ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 4382

Prime factors of 4382 are 2, 7, 313. Prime factorization of 4382 in exponential form is:

4382 = 2¹ × 7¹ × 313¹

Step-3: Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185

Step-4: Factors of 4382

List of positive integer factors of 4382 that divides 4370 without a remainder.

1, 2, 7, 14, 313, 626, 2191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4370 and 4382. The biggest common factor number is the GCF number.
So the greatest common factor 4370 and 4382 is 2.

Also check out the Least Common Multiple of 4370 and 4382