What is the Greatest Common Factor of 29288 and 29302?

Greatest common factor (GCF) of 29288 and 29302 is 14.

GCF(29288,29302) = 14

We will now calculate the prime factors of 29288 and 29302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29288 and 29302.

How to find the GCF of 29288 and 29302?

We will first find the prime factorization of 29288 and 29302. After we will calculate the factors of 29288 and 29302 and find the biggest common factor number .

Step-1: Prime Factorization of 29288

Prime factors of 29288 are 2, 7, 523. Prime factorization of 29288 in exponential form is:

29288 = 2³ × 7¹ × 523¹

Step-2: Prime Factorization of 29302

Prime factors of 29302 are 2, 7, 13, 23. Prime factorization of 29302 in exponential form is:

29302 = 2¹ × 7² × 13¹ × 23¹

Step-3: Factors of 29288

List of positive integer factors of 29288 that divides 29288 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 523, 1046, 2092, 3661, 4184, 7322, 14644

Step-4: Factors of 29302

List of positive integer factors of 29302 that divides 29288 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 49, 91, 98, 161, 182, 299, 322, 598, 637, 1127, 1274, 2093, 2254, 4186, 14651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29288 and 29302. The biggest common factor number is the GCF number.
So the greatest common factor 29288 and 29302 is 14.

Also check out the Least Common Multiple of 29288 and 29302