What is the Greatest Common Factor of 49278 and 49291?

Greatest common factor (GCF) of 49278 and 49291 is 1.

GCF(49278,49291) = 1

We will now calculate the prime factors of 49278 and 49291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49278 and 49291.

How to find the GCF of 49278 and 49291?

We will first find the prime factorization of 49278 and 49291. After we will calculate the factors of 49278 and 49291 and find the biggest common factor number .

Step-1: Prime Factorization of 49278

Prime factors of 49278 are 2, 3, 43, 191. Prime factorization of 49278 in exponential form is:

49278 = 2¹ × 3¹ × 43¹ × 191¹

Step-2: Prime Factorization of 49291

Prime factors of 49291 are 11, 4481. Prime factorization of 49291 in exponential form is:

49291 = 11¹ × 4481¹

Step-3: Factors of 49278

List of positive integer factors of 49278 that divides 49278 without a remainder.

1, 2, 3, 6, 43, 86, 129, 191, 258, 382, 573, 1146, 8213, 16426, 24639

Step-4: Factors of 49291

List of positive integer factors of 49291 that divides 49278 without a remainder.

1, 11, 4481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49278 and 49291. The biggest common factor number is the GCF number.
So the greatest common factor 49278 and 49291 is 1.

Also check out the Least Common Multiple of 49278 and 49291