What is the Greatest Common Factor of 49228 and 49246?

Greatest common factor (GCF) of 49228 and 49246 is 2.

GCF(49228,49246) = 2

We will now calculate the prime factors of 49228 and 49246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49228 and 49246.

How to find the GCF of 49228 and 49246?

We will first find the prime factorization of 49228 and 49246. After we will calculate the factors of 49228 and 49246 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49246

Prime factors of 49246 are 2, 24623. Prime factorization of 49246 in exponential form is:

49246 = 2¹ × 24623¹

Step-3: Factors of 49228

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

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

Step-4: Factors of 49246

List of positive integer factors of 49246 that divides 49228 without a remainder.

1, 2, 24623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49228 and 49246. The biggest common factor number is the GCF number.
So the greatest common factor 49228 and 49246 is 2.

Also check out the Least Common Multiple of 49228 and 49246