What is the Greatest Common Factor of 75030 and 75036?

Greatest common factor (GCF) of 75030 and 75036 is 6.

GCF(75030,75036) = 6

We will now calculate the prime factors of 75030 and 75036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75030 and 75036.

How to find the GCF of 75030 and 75036?

We will first find the prime factorization of 75030 and 75036. After we will calculate the factors of 75030 and 75036 and find the biggest common factor number .

Step-1: Prime Factorization of 75030

Prime factors of 75030 are 2, 3, 5, 41, 61. Prime factorization of 75030 in exponential form is:

75030 = 2¹ × 3¹ × 5¹ × 41¹ × 61¹

Step-2: Prime Factorization of 75036

Prime factors of 75036 are 2, 3, 13, 37. Prime factorization of 75036 in exponential form is:

75036 = 2² × 3¹ × 13² × 37¹

Step-3: Factors of 75030

List of positive integer factors of 75030 that divides 75030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 61, 82, 122, 123, 183, 205, 246, 305, 366, 410, 610, 615, 915, 1230, 1830, 2501, 5002, 7503, 12505, 15006, 25010, 37515

Step-4: Factors of 75036

List of positive integer factors of 75036 that divides 75030 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 169, 222, 338, 444, 481, 507, 676, 962, 1014, 1443, 1924, 2028, 2886, 5772, 6253, 12506, 18759, 25012, 37518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75030 and 75036. The biggest common factor number is the GCF number.
So the greatest common factor 75030 and 75036 is 6.

Also check out the Least Common Multiple of 75030 and 75036