What is the Greatest Common Factor of 49238 and 49245?

Greatest common factor (GCF) of 49238 and 49245 is 7.

GCF(49238,49245) = 7

We will now calculate the prime factors of 49238 and 49245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49238 and 49245.

How to find the GCF of 49238 and 49245?

We will first find the prime factorization of 49238 and 49245. After we will calculate the factors of 49238 and 49245 and find the biggest common factor number .

Step-1: Prime Factorization of 49238

Prime factors of 49238 are 2, 7, 3517. Prime factorization of 49238 in exponential form is:

49238 = 2¹ × 7¹ × 3517¹

Step-2: Prime Factorization of 49245

Prime factors of 49245 are 3, 5, 7, 67. Prime factorization of 49245 in exponential form is:

49245 = 3¹ × 5¹ × 7² × 67¹

Step-3: Factors of 49238

List of positive integer factors of 49238 that divides 49238 without a remainder.

1, 2, 7, 14, 3517, 7034, 24619

Step-4: Factors of 49245

List of positive integer factors of 49245 that divides 49238 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 67, 105, 147, 201, 245, 335, 469, 735, 1005, 1407, 2345, 3283, 7035, 9849, 16415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49238 and 49245. The biggest common factor number is the GCF number.
So the greatest common factor 49238 and 49245 is 7.

Also check out the Least Common Multiple of 49238 and 49245