What is the Greatest Common Factor of 49140 and 49150?

Greatest common factor (GCF) of 49140 and 49150 is 10.

GCF(49140,49150) = 10

We will now calculate the prime factors of 49140 and 49150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49140 and 49150.

How to find the GCF of 49140 and 49150?

We will first find the prime factorization of 49140 and 49150. After we will calculate the factors of 49140 and 49150 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 49150

Prime factors of 49150 are 2, 5, 983. Prime factorization of 49150 in exponential form is:

49150 = 2¹ × 5² × 983¹

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 49150

List of positive integer factors of 49150 that divides 49140 without a remainder.

1, 2, 5, 10, 25, 50, 983, 1966, 4915, 9830, 24575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49140 and 49150. The biggest common factor number is the GCF number.
So the greatest common factor 49140 and 49150 is 10.

Also check out the Least Common Multiple of 49140 and 49150