What is the Greatest Common Factor of 75019 and 75033?

Greatest common factor (GCF) of 75019 and 75033 is 7.

GCF(75019,75033) = 7

We will now calculate the prime factors of 75019 and 75033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75019 and 75033.

How to find the GCF of 75019 and 75033?

We will first find the prime factorization of 75019 and 75033. After we will calculate the factors of 75019 and 75033 and find the biggest common factor number .

Step-1: Prime Factorization of 75019

Prime factors of 75019 are 7, 1531. Prime factorization of 75019 in exponential form is:

75019 = 7² × 1531¹

Step-2: Prime Factorization of 75033

Prime factors of 75033 are 3, 7, 397. Prime factorization of 75033 in exponential form is:

75033 = 3³ × 7¹ × 397¹

Step-3: Factors of 75019

List of positive integer factors of 75019 that divides 75019 without a remainder.

1, 7, 49, 1531, 10717

Step-4: Factors of 75033

List of positive integer factors of 75033 that divides 75019 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 397, 1191, 2779, 3573, 8337, 10719, 25011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75019 and 75033. The biggest common factor number is the GCF number.
So the greatest common factor 75019 and 75033 is 7.

Also check out the Least Common Multiple of 75019 and 75033