What is the Greatest Common Factor of 49651 and 49665?

Greatest common factor (GCF) of 49651 and 49665 is 7.

GCF(49651,49665) = 7

We will now calculate the prime factors of 49651 and 49665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49651 and 49665.

How to find the GCF of 49651 and 49665?

We will first find the prime factorization of 49651 and 49665. After we will calculate the factors of 49651 and 49665 and find the biggest common factor number .

Step-1: Prime Factorization of 49651

Prime factors of 49651 are 7, 41, 173. Prime factorization of 49651 in exponential form is:

49651 = 7¹ × 41¹ × 173¹

Step-2: Prime Factorization of 49665

Prime factors of 49665 are 3, 5, 7, 11, 43. Prime factorization of 49665 in exponential form is:

49665 = 3¹ × 5¹ × 7¹ × 11¹ × 43¹

Step-3: Factors of 49651

List of positive integer factors of 49651 that divides 49651 without a remainder.

1, 7, 41, 173, 287, 1211, 7093

Step-4: Factors of 49665

List of positive integer factors of 49665 that divides 49651 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 43, 55, 77, 105, 129, 165, 215, 231, 301, 385, 473, 645, 903, 1155, 1419, 1505, 2365, 3311, 4515, 7095, 9933, 16555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49651 and 49665. The biggest common factor number is the GCF number.
So the greatest common factor 49651 and 49665 is 7.

Also check out the Least Common Multiple of 49651 and 49665