What is the Greatest Common Factor of 49546 and 49560?

Greatest common factor (GCF) of 49546 and 49560 is 14.

GCF(49546,49560) = 14

We will now calculate the prime factors of 49546 and 49560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49546 and 49560.

How to find the GCF of 49546 and 49560?

We will first find the prime factorization of 49546 and 49560. After we will calculate the factors of 49546 and 49560 and find the biggest common factor number .

Step-1: Prime Factorization of 49546

Prime factors of 49546 are 2, 7, 3539. Prime factorization of 49546 in exponential form is:

49546 = 2¹ × 7¹ × 3539¹

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 49546

List of positive integer factors of 49546 that divides 49546 without a remainder.

1, 2, 7, 14, 3539, 7078, 24773

Step-4: Factors of 49560

List of positive integer factors of 49560 that divides 49546 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 49546 and 49560. The biggest common factor number is the GCF number.
So the greatest common factor 49546 and 49560 is 14.

Also check out the Least Common Multiple of 49546 and 49560