What is the Greatest Common Factor of 94996 and 95013?

Greatest common factor (GCF) of 94996 and 95013 is 17.

GCF(94996,95013) = 17

We will now calculate the prime factors of 94996 and 95013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94996 and 95013.

How to find the GCF of 94996 and 95013?

We will first find the prime factorization of 94996 and 95013. After we will calculate the factors of 94996 and 95013 and find the biggest common factor number .

Step-1: Prime Factorization of 94996

Prime factors of 94996 are 2, 11, 17, 127. Prime factorization of 94996 in exponential form is:

94996 = 2² × 11¹ × 17¹ × 127¹

Step-2: Prime Factorization of 95013

Prime factors of 95013 are 3, 17, 23. Prime factorization of 95013 in exponential form is:

95013 = 3⁵ × 17¹ × 23¹

Step-3: Factors of 94996

List of positive integer factors of 94996 that divides 94996 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 127, 187, 254, 374, 508, 748, 1397, 2159, 2794, 4318, 5588, 8636, 23749, 47498

Step-4: Factors of 95013

List of positive integer factors of 95013 that divides 94996 without a remainder.

1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173, 1377, 1863, 3519, 4131, 5589, 10557, 31671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94996 and 95013. The biggest common factor number is the GCF number.
So the greatest common factor 94996 and 95013 is 17.

Also check out the Least Common Multiple of 94996 and 95013