What is the Greatest Common Factor of 4352 and 4370?

Greatest common factor (GCF) of 4352 and 4370 is 2.

GCF(4352,4370) = 2

We will now calculate the prime factors of 4352 and 4370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4352 and 4370.

How to find the GCF of 4352 and 4370?

We will first find the prime factorization of 4352 and 4370. After we will calculate the factors of 4352 and 4370 and find the biggest common factor number .

Step-1: Prime Factorization of 4352

Prime factors of 4352 are 2, 17. Prime factorization of 4352 in exponential form is:

4352 = 2⁸ × 17¹

Step-2: 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-3: Factors of 4352

List of positive integer factors of 4352 that divides 4352 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176

Step-4: Factors of 4370

List of positive integer factors of 4370 that divides 4352 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4352 and 4370. The biggest common factor number is the GCF number.
So the greatest common factor 4352 and 4370 is 2.

Also check out the Least Common Multiple of 4352 and 4370