What is the Greatest Common Factor of 29470 and 29488?

Greatest common factor (GCF) of 29470 and 29488 is 2.

GCF(29470,29488) = 2

We will now calculate the prime factors of 29470 and 29488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29470 and 29488.

How to find the GCF of 29470 and 29488?

We will first find the prime factorization of 29470 and 29488. After we will calculate the factors of 29470 and 29488 and find the biggest common factor number .

Step-1: Prime Factorization of 29470

Prime factors of 29470 are 2, 5, 7, 421. Prime factorization of 29470 in exponential form is:

29470 = 2¹ × 5¹ × 7¹ × 421¹

Step-2: Prime Factorization of 29488

Prime factors of 29488 are 2, 19, 97. Prime factorization of 29488 in exponential form is:

29488 = 2⁴ × 19¹ × 97¹

Step-3: Factors of 29470

List of positive integer factors of 29470 that divides 29470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 421, 842, 2105, 2947, 4210, 5894, 14735

Step-4: Factors of 29488

List of positive integer factors of 29488 that divides 29470 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843, 3686, 7372, 14744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29470 and 29488. The biggest common factor number is the GCF number.
So the greatest common factor 29470 and 29488 is 2.

Also check out the Least Common Multiple of 29470 and 29488