What is the Greatest Common Factor of 95013 and 95033?

Greatest common factor (GCF) of 95013 and 95033 is 1.

GCF(95013,95033) = 1

We will now calculate the prime factors of 95013 and 95033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95013 and 95033.

How to find the GCF of 95013 and 95033?

We will first find the prime factorization of 95013 and 95033. After we will calculate the factors of 95013 and 95033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95033

Prime factors of 95033 are 29, 113. Prime factorization of 95033 in exponential form is:

95033 = 29² × 113¹

Step-3: Factors of 95013

List of positive integer factors of 95013 that divides 95013 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

Step-4: Factors of 95033

List of positive integer factors of 95033 that divides 95013 without a remainder.

1, 29, 113, 841, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95013 and 95033. The biggest common factor number is the GCF number.
So the greatest common factor 95013 and 95033 is 1.

Also check out the Least Common Multiple of 95013 and 95033