What is the Greatest Common Factor of 95008 and 95014?

Greatest common factor (GCF) of 95008 and 95014 is 2.

GCF(95008,95014) = 2

We will now calculate the prime factors of 95008 and 95014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95008 and 95014.

How to find the GCF of 95008 and 95014?

We will first find the prime factorization of 95008 and 95014. After we will calculate the factors of 95008 and 95014 and find the biggest common factor number .

Step-1: Prime Factorization of 95008

Prime factors of 95008 are 2, 2969. Prime factorization of 95008 in exponential form is:

95008 = 2⁵ × 2969¹

Step-2: Prime Factorization of 95014

Prime factors of 95014 are 2, 47507. Prime factorization of 95014 in exponential form is:

95014 = 2¹ × 47507¹

Step-3: Factors of 95008

List of positive integer factors of 95008 that divides 95008 without a remainder.

1, 2, 4, 8, 16, 32, 2969, 5938, 11876, 23752, 47504

Step-4: Factors of 95014

List of positive integer factors of 95014 that divides 95008 without a remainder.

1, 2, 47507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95008 and 95014. The biggest common factor number is the GCF number.
So the greatest common factor 95008 and 95014 is 2.

Also check out the Least Common Multiple of 95008 and 95014