What is the Greatest Common Factor of 95774 and 95788?

Greatest common factor (GCF) of 95774 and 95788 is 14.

GCF(95774,95788) = 14

We will now calculate the prime factors of 95774 and 95788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95774 and 95788.

How to find the GCF of 95774 and 95788?

We will first find the prime factorization of 95774 and 95788. After we will calculate the factors of 95774 and 95788 and find the biggest common factor number .

Step-1: Prime Factorization of 95774

Prime factors of 95774 are 2, 7, 6841. Prime factorization of 95774 in exponential form is:

95774 = 2¹ × 7¹ × 6841¹

Step-2: Prime Factorization of 95788

Prime factors of 95788 are 2, 7, 11, 311. Prime factorization of 95788 in exponential form is:

95788 = 2² × 7¹ × 11¹ × 311¹

Step-3: Factors of 95774

List of positive integer factors of 95774 that divides 95774 without a remainder.

1, 2, 7, 14, 6841, 13682, 47887

Step-4: Factors of 95788

List of positive integer factors of 95788 that divides 95774 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308, 311, 622, 1244, 2177, 3421, 4354, 6842, 8708, 13684, 23947, 47894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95774 and 95788. The biggest common factor number is the GCF number.
So the greatest common factor 95774 and 95788 is 14.

Also check out the Least Common Multiple of 95774 and 95788