What is the Greatest Common Factor of 96025 and 96030?

Greatest common factor (GCF) of 96025 and 96030 is 5.

GCF(96025,96030) = 5

We will now calculate the prime factors of 96025 and 96030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96025 and 96030.

How to find the GCF of 96025 and 96030?

We will first find the prime factorization of 96025 and 96030. After we will calculate the factors of 96025 and 96030 and find the biggest common factor number .

Step-1: Prime Factorization of 96025

Prime factors of 96025 are 5, 23, 167. Prime factorization of 96025 in exponential form is:

96025 = 5² × 23¹ × 167¹

Step-2: Prime Factorization of 96030

Prime factors of 96030 are 2, 3, 5, 11, 97. Prime factorization of 96030 in exponential form is:

96030 = 2¹ × 3² × 5¹ × 11¹ × 97¹

Step-3: Factors of 96025

List of positive integer factors of 96025 that divides 96025 without a remainder.

1, 5, 23, 25, 115, 167, 575, 835, 3841, 4175, 19205

Step-4: Factors of 96030

List of positive integer factors of 96030 that divides 96025 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 97, 99, 110, 165, 194, 198, 291, 330, 485, 495, 582, 873, 970, 990, 1067, 1455, 1746, 2134, 2910, 3201, 4365, 5335, 6402, 8730, 9603, 10670, 16005, 19206, 32010, 48015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96025 and 96030. The biggest common factor number is the GCF number.
So the greatest common factor 96025 and 96030 is 5.

Also check out the Least Common Multiple of 96025 and 96030