What is the Greatest Common Factor of 75145 and 75159?

Greatest common factor (GCF) of 75145 and 75159 is 7.

GCF(75145,75159) = 7

We will now calculate the prime factors of 75145 and 75159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75145 and 75159.

How to find the GCF of 75145 and 75159?

We will first find the prime factorization of 75145 and 75159. After we will calculate the factors of 75145 and 75159 and find the biggest common factor number .

Step-1: Prime Factorization of 75145

Prime factors of 75145 are 5, 7, 19, 113. Prime factorization of 75145 in exponential form is:

75145 = 5¹ × 7¹ × 19¹ × 113¹

Step-2: Prime Factorization of 75159

Prime factors of 75159 are 3, 7, 1193. Prime factorization of 75159 in exponential form is:

75159 = 3² × 7¹ × 1193¹

Step-3: Factors of 75145

List of positive integer factors of 75145 that divides 75145 without a remainder.

1, 5, 7, 19, 35, 95, 113, 133, 565, 665, 791, 2147, 3955, 10735, 15029

Step-4: Factors of 75159

List of positive integer factors of 75159 that divides 75145 without a remainder.

1, 3, 7, 9, 21, 63, 1193, 3579, 8351, 10737, 25053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75145 and 75159. The biggest common factor number is the GCF number.
So the greatest common factor 75145 and 75159 is 7.

Also check out the Least Common Multiple of 75145 and 75159