What is the Greatest Common Factor of 95696 and 95702?

Greatest common factor (GCF) of 95696 and 95702 is 2.

GCF(95696,95702) = 2

We will now calculate the prime factors of 95696 and 95702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95696 and 95702.

How to find the GCF of 95696 and 95702?

We will first find the prime factorization of 95696 and 95702. After we will calculate the factors of 95696 and 95702 and find the biggest common factor number .

Step-1: Prime Factorization of 95696

Prime factors of 95696 are 2, 5981. Prime factorization of 95696 in exponential form is:

95696 = 2⁴ × 5981¹

Step-2: Prime Factorization of 95702

Prime factors of 95702 are 2, 109, 439. Prime factorization of 95702 in exponential form is:

95702 = 2¹ × 109¹ × 439¹

Step-3: Factors of 95696

List of positive integer factors of 95696 that divides 95696 without a remainder.

1, 2, 4, 8, 16, 5981, 11962, 23924, 47848

Step-4: Factors of 95702

List of positive integer factors of 95702 that divides 95696 without a remainder.

1, 2, 109, 218, 439, 878, 47851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95696 and 95702. The biggest common factor number is the GCF number.
So the greatest common factor 95696 and 95702 is 2.

Also check out the Least Common Multiple of 95696 and 95702