What is the Greatest Common Factor of 75141 and 75157?

Greatest common factor (GCF) of 75141 and 75157 is 1.

GCF(75141,75157) = 1

We will now calculate the prime factors of 75141 and 75157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75141 and 75157.

How to find the GCF of 75141 and 75157?

We will first find the prime factorization of 75141 and 75157. After we will calculate the factors of 75141 and 75157 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75157

Prime factors of 75157 are 17, 4421. Prime factorization of 75157 in exponential form is:

75157 = 17¹ × 4421¹

Step-3: Factors of 75141

List of positive integer factors of 75141 that divides 75141 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

Step-4: Factors of 75157

List of positive integer factors of 75157 that divides 75141 without a remainder.

1, 17, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75141 and 75157. The biggest common factor number is the GCF number.
So the greatest common factor 75141 and 75157 is 1.

Also check out the Least Common Multiple of 75141 and 75157