What is the Greatest Common Factor of 75130 and 75141?

Greatest common factor (GCF) of 75130 and 75141 is 11.

GCF(75130,75141) = 11

We will now calculate the prime factors of 75130 and 75141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75130 and 75141.

How to find the GCF of 75130 and 75141?

We will first find the prime factorization of 75130 and 75141. After we will calculate the factors of 75130 and 75141 and find the biggest common factor number .

Step-1: Prime Factorization of 75130

Prime factors of 75130 are 2, 5, 11, 683. Prime factorization of 75130 in exponential form is:

75130 = 2¹ × 5¹ × 11¹ × 683¹

Step-2: Prime Factorization of 75141

Prime factors of 75141 are 3, 11, 23. Prime factorization of 75141 in exponential form is:

75141 = 3³ × 11² × 23¹

Step-3: Factors of 75130

List of positive integer factors of 75130 that divides 75130 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 683, 1366, 3415, 6830, 7513, 15026, 37565

Step-4: Factors of 75141

List of positive integer factors of 75141 that divides 75130 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 99, 121, 207, 253, 297, 363, 621, 759, 1089, 2277, 2783, 3267, 6831, 8349, 25047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75130 and 75141. The biggest common factor number is the GCF number.
So the greatest common factor 75130 and 75141 is 11.

Also check out the Least Common Multiple of 75130 and 75141