What is the Greatest Common Factor of 49805 and 49819?

Greatest common factor (GCF) of 49805 and 49819 is 7.

GCF(49805,49819) = 7

We will now calculate the prime factors of 49805 and 49819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49805 and 49819.

How to find the GCF of 49805 and 49819?

We will first find the prime factorization of 49805 and 49819. After we will calculate the factors of 49805 and 49819 and find the biggest common factor number .

Step-1: Prime Factorization of 49805

Prime factors of 49805 are 5, 7, 1423. Prime factorization of 49805 in exponential form is:

49805 = 5¹ × 7¹ × 1423¹

Step-2: Prime Factorization of 49819

Prime factors of 49819 are 7, 11, 647. Prime factorization of 49819 in exponential form is:

49819 = 7¹ × 11¹ × 647¹

Step-3: Factors of 49805

List of positive integer factors of 49805 that divides 49805 without a remainder.

1, 5, 7, 35, 1423, 7115, 9961

Step-4: Factors of 49819

List of positive integer factors of 49819 that divides 49805 without a remainder.

1, 7, 11, 77, 647, 4529, 7117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49805 and 49819. The biggest common factor number is the GCF number.
So the greatest common factor 49805 and 49819 is 7.

Also check out the Least Common Multiple of 49805 and 49819