What is the Greatest Common Factor of 96140 and 96150?

Greatest common factor (GCF) of 96140 and 96150 is 10.

GCF(96140,96150) = 10

We will now calculate the prime factors of 96140 and 96150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96140 and 96150.

How to find the GCF of 96140 and 96150?

We will first find the prime factorization of 96140 and 96150. After we will calculate the factors of 96140 and 96150 and find the biggest common factor number .

Step-1: Prime Factorization of 96140

Prime factors of 96140 are 2, 5, 11, 19, 23. Prime factorization of 96140 in exponential form is:

96140 = 2² × 5¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 96150

Prime factors of 96150 are 2, 3, 5, 641. Prime factorization of 96150 in exponential form is:

96150 = 2¹ × 3¹ × 5² × 641¹

Step-3: Factors of 96140

List of positive integer factors of 96140 that divides 96140 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 23, 38, 44, 46, 55, 76, 92, 95, 110, 115, 190, 209, 220, 230, 253, 380, 418, 437, 460, 506, 836, 874, 1012, 1045, 1265, 1748, 2090, 2185, 2530, 4180, 4370, 4807, 5060, 8740, 9614, 19228, 24035, 48070

Step-4: Factors of 96150

List of positive integer factors of 96150 that divides 96140 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 641, 1282, 1923, 3205, 3846, 6410, 9615, 16025, 19230, 32050, 48075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96140 and 96150. The biggest common factor number is the GCF number.
So the greatest common factor 96140 and 96150 is 10.

Also check out the Least Common Multiple of 96140 and 96150