What is the Greatest Common Factor of 29232 and 29252?

Greatest common factor (GCF) of 29232 and 29252 is 4.

GCF(29232,29252) = 4

We will now calculate the prime factors of 29232 and 29252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29232 and 29252.

How to find the GCF of 29232 and 29252?

We will first find the prime factorization of 29232 and 29252. After we will calculate the factors of 29232 and 29252 and find the biggest common factor number .

Step-1: Prime Factorization of 29232

Prime factors of 29232 are 2, 3, 7, 29. Prime factorization of 29232 in exponential form is:

29232 = 2⁴ × 3² × 7¹ × 29¹

Step-2: Prime Factorization of 29252

Prime factors of 29252 are 2, 71, 103. Prime factorization of 29252 in exponential form is:

29252 = 2² × 71¹ × 103¹

Step-3: Factors of 29232

List of positive integer factors of 29232 that divides 29232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 29, 36, 42, 48, 56, 58, 63, 72, 84, 87, 112, 116, 126, 144, 168, 174, 203, 232, 252, 261, 336, 348, 406, 464, 504, 522, 609, 696, 812, 1008, 1044, 1218, 1392, 1624, 1827, 2088, 2436, 3248, 3654, 4176, 4872, 7308, 9744, 14616

Step-4: Factors of 29252

List of positive integer factors of 29252 that divides 29232 without a remainder.

1, 2, 4, 71, 103, 142, 206, 284, 412, 7313, 14626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29232 and 29252. The biggest common factor number is the GCF number.
So the greatest common factor 29232 and 29252 is 4.

Also check out the Least Common Multiple of 29232 and 29252