What is the Greatest Common Factor of 95488 and 95508?

Greatest common factor (GCF) of 95488 and 95508 is 4.

GCF(95488,95508) = 4

We will now calculate the prime factors of 95488 and 95508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95488 and 95508.

How to find the GCF of 95488 and 95508?

We will first find the prime factorization of 95488 and 95508. After we will calculate the factors of 95488 and 95508 and find the biggest common factor number .

Step-1: Prime Factorization of 95488

Prime factors of 95488 are 2, 373. Prime factorization of 95488 in exponential form is:

95488 = 2⁸ × 373¹

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 95488

List of positive integer factors of 95488 that divides 95488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 373, 746, 1492, 2984, 5968, 11936, 23872, 47744

Step-4: Factors of 95508

List of positive integer factors of 95508 that divides 95488 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 95488 and 95508. The biggest common factor number is the GCF number.
So the greatest common factor 95488 and 95508 is 4.

Also check out the Least Common Multiple of 95488 and 95508