What is the Greatest Common Factor of 75658 and 75665?

Greatest common factor (GCF) of 75658 and 75665 is 1.

GCF(75658,75665) = 1

We will now calculate the prime factors of 75658 and 75665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75658 and 75665.

How to find the GCF of 75658 and 75665?

We will first find the prime factorization of 75658 and 75665. After we will calculate the factors of 75658 and 75665 and find the biggest common factor number .

Step-1: Prime Factorization of 75658

Prime factors of 75658 are 2, 11, 19, 181. Prime factorization of 75658 in exponential form is:

75658 = 2¹ × 11¹ × 19¹ × 181¹

Step-2: Prime Factorization of 75665

Prime factors of 75665 are 5, 37, 409. Prime factorization of 75665 in exponential form is:

75665 = 5¹ × 37¹ × 409¹

Step-3: Factors of 75658

List of positive integer factors of 75658 that divides 75658 without a remainder.

1, 2, 11, 19, 22, 38, 181, 209, 362, 418, 1991, 3439, 3982, 6878, 37829

Step-4: Factors of 75665

List of positive integer factors of 75665 that divides 75658 without a remainder.

1, 5, 37, 185, 409, 2045, 15133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75658 and 75665. The biggest common factor number is the GCF number.
So the greatest common factor 75658 and 75665 is 1.

Also check out the Least Common Multiple of 75658 and 75665