What is the Greatest Common Factor of 29302 and 29314?

Greatest common factor (GCF) of 29302 and 29314 is 2.

GCF(29302,29314) = 2

We will now calculate the prime factors of 29302 and 29314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29302 and 29314.

How to find the GCF of 29302 and 29314?

We will first find the prime factorization of 29302 and 29314. After we will calculate the factors of 29302 and 29314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29314

Prime factors of 29314 are 2, 14657. Prime factorization of 29314 in exponential form is:

29314 = 2¹ × 14657¹

Step-3: Factors of 29302

List of positive integer factors of 29302 that divides 29302 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

Step-4: Factors of 29314

List of positive integer factors of 29314 that divides 29302 without a remainder.

1, 2, 14657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29302 and 29314. The biggest common factor number is the GCF number.
So the greatest common factor 29302 and 29314 is 2.

Also check out the Least Common Multiple of 29302 and 29314