What is the Greatest Common Factor of 49665 and 49675?

Greatest common factor (GCF) of 49665 and 49675 is 5.

GCF(49665,49675) = 5

We will now calculate the prime factors of 49665 and 49675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49665 and 49675.

How to find the GCF of 49665 and 49675?

We will first find the prime factorization of 49665 and 49675. After we will calculate the factors of 49665 and 49675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49675

Prime factors of 49675 are 5, 1987. Prime factorization of 49675 in exponential form is:

49675 = 5² × 1987¹

Step-3: Factors of 49665

List of positive integer factors of 49665 that divides 49665 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

Step-4: Factors of 49675

List of positive integer factors of 49675 that divides 49665 without a remainder.

1, 5, 25, 1987, 9935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49665 and 49675. The biggest common factor number is the GCF number.
So the greatest common factor 49665 and 49675 is 5.

Also check out the Least Common Multiple of 49665 and 49675