What is the Greatest Common Factor of 49131 and 49140?

Greatest common factor (GCF) of 49131 and 49140 is 9.

GCF(49131,49140) = 9

We will now calculate the prime factors of 49131 and 49140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49131 and 49140.

How to find the GCF of 49131 and 49140?

We will first find the prime factorization of 49131 and 49140. After we will calculate the factors of 49131 and 49140 and find the biggest common factor number .

Step-1: Prime Factorization of 49131

Prime factors of 49131 are 3, 53, 103. Prime factorization of 49131 in exponential form is:

49131 = 3² × 53¹ × 103¹

Step-2: Prime Factorization of 49140

Prime factors of 49140 are 2, 3, 5, 7, 13. Prime factorization of 49140 in exponential form is:

49140 = 2² × 3³ × 5¹ × 7¹ × 13¹

Step-3: Factors of 49131

List of positive integer factors of 49131 that divides 49131 without a remainder.

1, 3, 9, 53, 103, 159, 309, 477, 927, 5459, 16377

Step-4: Factors of 49140

List of positive integer factors of 49140 that divides 49131 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 18, 20, 21, 26, 27, 28, 30, 35, 36, 39, 42, 45, 52, 54, 60, 63, 65, 70, 78, 84, 90, 91, 105, 108, 117, 126, 130, 135, 140, 156, 180, 182, 189, 195, 210, 234, 252, 260, 270, 273, 315, 351, 364, 378, 390, 420, 455, 468, 540, 546, 585, 630, 702, 756, 780, 819, 910, 945, 1092, 1170, 1260, 1365, 1404, 1638, 1755, 1820, 1890, 2340, 2457, 2730, 3276, 3510, 3780, 4095, 4914, 5460, 7020, 8190, 9828, 12285, 16380, 24570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49131 and 49140. The biggest common factor number is the GCF number.
So the greatest common factor 49131 and 49140 is 9.

Also check out the Least Common Multiple of 49131 and 49140