What is the Greatest Common Factor of 29224 and 29232?

Greatest common factor (GCF) of 29224 and 29232 is 8.

GCF(29224,29232) = 8

We will now calculate the prime factors of 29224 and 29232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29224 and 29232.

How to find the GCF of 29224 and 29232?

We will first find the prime factorization of 29224 and 29232. After we will calculate the factors of 29224 and 29232 and find the biggest common factor number .

Step-1: Prime Factorization of 29224

Prime factors of 29224 are 2, 13, 281. Prime factorization of 29224 in exponential form is:

29224 = 2³ × 13¹ × 281¹

Step-2: 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-3: Factors of 29224

List of positive integer factors of 29224 that divides 29224 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 281, 562, 1124, 2248, 3653, 7306, 14612

Step-4: Factors of 29232

List of positive integer factors of 29232 that divides 29224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29224 and 29232. The biggest common factor number is the GCF number.
So the greatest common factor 29224 and 29232 is 8.

Also check out the Least Common Multiple of 29224 and 29232