What is the Greatest Common Factor of 95678 and 95689?

Greatest common factor (GCF) of 95678 and 95689 is 11.

GCF(95678,95689) = 11

We will now calculate the prime factors of 95678 and 95689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95678 and 95689.

How to find the GCF of 95678 and 95689?

We will first find the prime factorization of 95678 and 95689. After we will calculate the factors of 95678 and 95689 and find the biggest common factor number .

Step-1: Prime Factorization of 95678

Prime factors of 95678 are 2, 11, 4349. Prime factorization of 95678 in exponential form is:

95678 = 2¹ × 11¹ × 4349¹

Step-2: Prime Factorization of 95689

Prime factors of 95689 are 11, 8699. Prime factorization of 95689 in exponential form is:

95689 = 11¹ × 8699¹

Step-3: Factors of 95678

List of positive integer factors of 95678 that divides 95678 without a remainder.

1, 2, 11, 22, 4349, 8698, 47839

Step-4: Factors of 95689

List of positive integer factors of 95689 that divides 95678 without a remainder.

1, 11, 8699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95678 and 95689. The biggest common factor number is the GCF number.
So the greatest common factor 95678 and 95689 is 11.

Also check out the Least Common Multiple of 95678 and 95689