What is the Greatest Common Factor of 49560 and 49565?

Greatest common factor (GCF) of 49560 and 49565 is 5.

GCF(49560,49565) = 5

We will now calculate the prime factors of 49560 and 49565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49560 and 49565.

How to find the GCF of 49560 and 49565?

We will first find the prime factorization of 49560 and 49565. After we will calculate the factors of 49560 and 49565 and find the biggest common factor number .

Step-1: Prime Factorization of 49560

Prime factors of 49560 are 2, 3, 5, 7, 59. Prime factorization of 49560 in exponential form is:

49560 = 2³ × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 49565

Prime factors of 49565 are 5, 23, 431. Prime factorization of 49565 in exponential form is:

49565 = 5¹ × 23¹ × 431¹

Step-3: Factors of 49560

List of positive integer factors of 49560 that divides 49560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 59, 60, 70, 84, 105, 118, 120, 140, 168, 177, 210, 236, 280, 295, 354, 413, 420, 472, 590, 708, 826, 840, 885, 1180, 1239, 1416, 1652, 1770, 2065, 2360, 2478, 3304, 3540, 4130, 4956, 6195, 7080, 8260, 9912, 12390, 16520, 24780

Step-4: Factors of 49565

List of positive integer factors of 49565 that divides 49560 without a remainder.

1, 5, 23, 115, 431, 2155, 9913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49560 and 49565. The biggest common factor number is the GCF number.
So the greatest common factor 49560 and 49565 is 5.

Also check out the Least Common Multiple of 49560 and 49565