What is the Greatest Common Factor of 96120 and 96140?

Greatest common factor (GCF) of 96120 and 96140 is 20.

GCF(96120,96140) = 20

We will now calculate the prime factors of 96120 and 96140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96120 and 96140.

How to find the GCF of 96120 and 96140?

We will first find the prime factorization of 96120 and 96140. After we will calculate the factors of 96120 and 96140 and find the biggest common factor number .

Step-1: Prime Factorization of 96120

Prime factors of 96120 are 2, 3, 5, 89. Prime factorization of 96120 in exponential form is:

96120 = 2³ × 3³ × 5¹ × 89¹

Step-2: 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-3: Factors of 96120

List of positive integer factors of 96120 that divides 96120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 89, 90, 108, 120, 135, 178, 180, 216, 267, 270, 356, 360, 445, 534, 540, 712, 801, 890, 1068, 1080, 1335, 1602, 1780, 2136, 2403, 2670, 3204, 3560, 4005, 4806, 5340, 6408, 8010, 9612, 10680, 12015, 16020, 19224, 24030, 32040, 48060

Step-4: Factors of 96140

List of positive integer factors of 96140 that divides 96120 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96120 and 96140. The biggest common factor number is the GCF number.
So the greatest common factor 96120 and 96140 is 20.

Also check out the Least Common Multiple of 96120 and 96140