What is the Greatest Common Factor of 49542 and 49560?

Greatest common factor (GCF) of 49542 and 49560 is 6.

GCF(49542,49560) = 6

We will now calculate the prime factors of 49542 and 49560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49542 and 49560.

How to find the GCF of 49542 and 49560?

We will first find the prime factorization of 49542 and 49560. After we will calculate the factors of 49542 and 49560 and find the biggest common factor number .

Step-1: Prime Factorization of 49542

Prime factors of 49542 are 2, 3, 23, 359. Prime factorization of 49542 in exponential form is:

49542 = 2¹ × 3¹ × 23¹ × 359¹

Step-2: 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-3: Factors of 49542

List of positive integer factors of 49542 that divides 49542 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 359, 718, 1077, 2154, 8257, 16514, 24771

Step-4: Factors of 49560

List of positive integer factors of 49560 that divides 49542 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49542 and 49560. The biggest common factor number is the GCF number.
So the greatest common factor 49542 and 49560 is 6.

Also check out the Least Common Multiple of 49542 and 49560