What is the Greatest Common Factor of 49140 and 49151?

Greatest common factor (GCF) of 49140 and 49151 is 1.

GCF(49140,49151) = 1

We will now calculate the prime factors of 49140 and 49151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49140 and 49151.

How to find the GCF of 49140 and 49151?

We will first find the prime factorization of 49140 and 49151. After we will calculate the factors of 49140 and 49151 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 49151

Prime factors of 49151 are 23, 2137. Prime factorization of 49151 in exponential form is:

49151 = 23¹ × 2137¹

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 49151

List of positive integer factors of 49151 that divides 49140 without a remainder.

1, 23, 2137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49140 and 49151. The biggest common factor number is the GCF number.
So the greatest common factor 49140 and 49151 is 1.

Also check out the Least Common Multiple of 49140 and 49151