What is the Greatest Common Factor of 49623 and 49640?

Greatest common factor (GCF) of 49623 and 49640 is 17.

GCF(49623,49640) = 17

We will now calculate the prime factors of 49623 and 49640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49623 and 49640.

How to find the GCF of 49623 and 49640?

We will first find the prime factorization of 49623 and 49640. After we will calculate the factors of 49623 and 49640 and find the biggest common factor number .

Step-1: Prime Factorization of 49623

Prime factors of 49623 are 3, 7, 17, 139. Prime factorization of 49623 in exponential form is:

49623 = 3¹ × 7¹ × 17¹ × 139¹

Step-2: Prime Factorization of 49640

Prime factors of 49640 are 2, 5, 17, 73. Prime factorization of 49640 in exponential form is:

49640 = 2³ × 5¹ × 17¹ × 73¹

Step-3: Factors of 49623

List of positive integer factors of 49623 that divides 49623 without a remainder.

1, 3, 7, 17, 21, 51, 119, 139, 357, 417, 973, 2363, 2919, 7089, 16541

Step-4: Factors of 49640

List of positive integer factors of 49640 that divides 49623 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 73, 85, 136, 146, 170, 292, 340, 365, 584, 680, 730, 1241, 1460, 2482, 2920, 4964, 6205, 9928, 12410, 24820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49623 and 49640. The biggest common factor number is the GCF number.
So the greatest common factor 49623 and 49640 is 17.

Also check out the Least Common Multiple of 49623 and 49640