What is the Greatest Common Factor of 49214 and 49228?

Greatest common factor (GCF) of 49214 and 49228 is 2.

GCF(49214,49228) = 2

We will now calculate the prime factors of 49214 and 49228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49214 and 49228.

How to find the GCF of 49214 and 49228?

We will first find the prime factorization of 49214 and 49228. After we will calculate the factors of 49214 and 49228 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 49228

Prime factors of 49228 are 2, 31, 397. Prime factorization of 49228 in exponential form is:

49228 = 2² × 31¹ × 397¹

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 49228

List of positive integer factors of 49228 that divides 49214 without a remainder.

1, 2, 4, 31, 62, 124, 397, 794, 1588, 12307, 24614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49214 and 49228. The biggest common factor number is the GCF number.
So the greatest common factor 49214 and 49228 is 2.

Also check out the Least Common Multiple of 49214 and 49228