What is the Greatest Common Factor of 29224 and 29242?

Greatest common factor (GCF) of 29224 and 29242 is 2.

GCF(29224,29242) = 2

We will now calculate the prime factors of 29224 and 29242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29224 and 29242.

How to find the GCF of 29224 and 29242?

We will first find the prime factorization of 29224 and 29242. After we will calculate the factors of 29224 and 29242 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 29242

Prime factors of 29242 are 2, 14621. Prime factorization of 29242 in exponential form is:

29242 = 2¹ × 14621¹

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 29242

List of positive integer factors of 29242 that divides 29224 without a remainder.

1, 2, 14621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29224 and 29242. The biggest common factor number is the GCF number.
So the greatest common factor 29224 and 29242 is 2.

Also check out the Least Common Multiple of 29224 and 29242