What is the Greatest Common Factor of 43288 and 43302?

Greatest common factor (GCF) of 43288 and 43302 is 14.

GCF(43288,43302) = 14

We will now calculate the prime factors of 43288 and 43302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43288 and 43302.

How to find the GCF of 43288 and 43302?

We will first find the prime factorization of 43288 and 43302. After we will calculate the factors of 43288 and 43302 and find the biggest common factor number .

Step-1: Prime Factorization of 43288

Prime factors of 43288 are 2, 7, 773. Prime factorization of 43288 in exponential form is:

43288 = 2³ × 7¹ × 773¹

Step-2: Prime Factorization of 43302

Prime factors of 43302 are 2, 3, 7, 1031. Prime factorization of 43302 in exponential form is:

43302 = 2¹ × 3¹ × 7¹ × 1031¹

Step-3: Factors of 43288

List of positive integer factors of 43288 that divides 43288 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 773, 1546, 3092, 5411, 6184, 10822, 21644

Step-4: Factors of 43302

List of positive integer factors of 43302 that divides 43288 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1031, 2062, 3093, 6186, 7217, 14434, 21651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43288 and 43302. The biggest common factor number is the GCF number.
So the greatest common factor 43288 and 43302 is 14.

Also check out the Least Common Multiple of 43288 and 43302