What is the Greatest Common Factor of 95489 and 95508?

Greatest common factor (GCF) of 95489 and 95508 is 1.

GCF(95489,95508) = 1

We will now calculate the prime factors of 95489 and 95508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95489 and 95508.

How to find the GCF of 95489 and 95508?

We will first find the prime factorization of 95489 and 95508. After we will calculate the factors of 95489 and 95508 and find the biggest common factor number .

Step-1: Prime Factorization of 95489

Prime factors of 95489 are 17, 41, 137. Prime factorization of 95489 in exponential form is:

95489 = 17¹ × 41¹ × 137¹

Step-2: Prime Factorization of 95508

Prime factors of 95508 are 2, 3, 7, 379. Prime factorization of 95508 in exponential form is:

95508 = 2² × 3² × 7¹ × 379¹

Step-3: Factors of 95489

List of positive integer factors of 95489 that divides 95489 without a remainder.

1, 17, 41, 137, 697, 2329, 5617

Step-4: Factors of 95508

List of positive integer factors of 95508 that divides 95489 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 379, 758, 1137, 1516, 2274, 2653, 3411, 4548, 5306, 6822, 7959, 10612, 13644, 15918, 23877, 31836, 47754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95489 and 95508. The biggest common factor number is the GCF number.
So the greatest common factor 95489 and 95508 is 1.

Also check out the Least Common Multiple of 95489 and 95508