What is the Greatest Common Factor of 49135 and 49140?

Greatest common factor (GCF) of 49135 and 49140 is 5.

GCF(49135,49140) = 5

We will now calculate the prime factors of 49135 and 49140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49135 and 49140.

How to find the GCF of 49135 and 49140?

We will first find the prime factorization of 49135 and 49140. After we will calculate the factors of 49135 and 49140 and find the biggest common factor number .

Step-1: Prime Factorization of 49135

Prime factors of 49135 are 5, 31, 317. Prime factorization of 49135 in exponential form is:

49135 = 5¹ × 31¹ × 317¹

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 49135

List of positive integer factors of 49135 that divides 49135 without a remainder.

1, 5, 31, 155, 317, 1585, 9827

Step-4: Factors of 49140

List of positive integer factors of 49140 that divides 49135 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 49135 and 49140. The biggest common factor number is the GCF number.
So the greatest common factor 49135 and 49140 is 5.

Also check out the Least Common Multiple of 49135 and 49140