What is the Greatest Common Factor of 49140 and 49158?

Greatest common factor (GCF) of 49140 and 49158 is 18.

GCF(49140,49158) = 18

We will now calculate the prime factors of 49140 and 49158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49140 and 49158.

How to find the GCF of 49140 and 49158?

We will first find the prime factorization of 49140 and 49158. After we will calculate the factors of 49140 and 49158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49158

Prime factors of 49158 are 2, 3, 2731. Prime factorization of 49158 in exponential form is:

49158 = 2¹ × 3² × 2731¹

Step-3: Factors of 49140

List of positive integer factors of 49140 that divides 49140 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

Step-4: Factors of 49158

List of positive integer factors of 49158 that divides 49140 without a remainder.

1, 2, 3, 6, 9, 18, 2731, 5462, 8193, 16386, 24579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49140 and 49158. The biggest common factor number is the GCF number.
So the greatest common factor 49140 and 49158 is 18.

Also check out the Least Common Multiple of 49140 and 49158