What is the Greatest Common Factor of 75014 and 75030?

Greatest common factor (GCF) of 75014 and 75030 is 2.

GCF(75014,75030) = 2

We will now calculate the prime factors of 75014 and 75030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75014 and 75030.

How to find the GCF of 75014 and 75030?

We will first find the prime factorization of 75014 and 75030. After we will calculate the factors of 75014 and 75030 and find the biggest common factor number .

Step-1: Prime Factorization of 75014

Prime factors of 75014 are 2, 37507. Prime factorization of 75014 in exponential form is:

75014 = 2¹ × 37507¹

Step-2: 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-3: Factors of 75014

List of positive integer factors of 75014 that divides 75014 without a remainder.

1, 2, 37507

Step-4: Factors of 75030

List of positive integer factors of 75030 that divides 75014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75014 and 75030. The biggest common factor number is the GCF number.
So the greatest common factor 75014 and 75030 is 2.

Also check out the Least Common Multiple of 75014 and 75030