What is the Greatest Common Factor of 49214 and 49232?

Greatest common factor (GCF) of 49214 and 49232 is 2.

GCF(49214,49232) = 2

We will now calculate the prime factors of 49214 and 49232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49214 and 49232.

How to find the GCF of 49214 and 49232?

We will first find the prime factorization of 49214 and 49232. After we will calculate the factors of 49214 and 49232 and find the biggest common factor number .

Step-1: Prime Factorization of 49214

Prime factors of 49214 are 2, 11, 2237. Prime factorization of 49214 in exponential form is:

49214 = 2¹ × 11¹ × 2237¹

Step-2: Prime Factorization of 49232

Prime factors of 49232 are 2, 17, 181. Prime factorization of 49232 in exponential form is:

49232 = 2⁴ × 17¹ × 181¹

Step-3: Factors of 49214

List of positive integer factors of 49214 that divides 49214 without a remainder.

1, 2, 11, 22, 2237, 4474, 24607

Step-4: Factors of 49232

List of positive integer factors of 49232 that divides 49214 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 181, 272, 362, 724, 1448, 2896, 3077, 6154, 12308, 24616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49214 and 49232. The biggest common factor number is the GCF number.
So the greatest common factor 49214 and 49232 is 2.

Also check out the Least Common Multiple of 49214 and 49232