What is the Greatest Common Factor of 75658 and 75676?

Greatest common factor (GCF) of 75658 and 75676 is 2.

GCF(75658,75676) = 2

We will now calculate the prime factors of 75658 and 75676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75658 and 75676.

How to find the GCF of 75658 and 75676?

We will first find the prime factorization of 75658 and 75676. After we will calculate the factors of 75658 and 75676 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 75676

Prime factors of 75676 are 2, 18919. Prime factorization of 75676 in exponential form is:

75676 = 2² × 18919¹

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 75676

List of positive integer factors of 75676 that divides 75658 without a remainder.

1, 2, 4, 18919, 37838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75658 and 75676. The biggest common factor number is the GCF number.
So the greatest common factor 75658 and 75676 is 2.

Also check out the Least Common Multiple of 75658 and 75676