What is the Greatest Common Factor of 95432 and 95452?

Greatest common factor (GCF) of 95432 and 95452 is 4.

GCF(95432,95452) = 4

We will now calculate the prime factors of 95432 and 95452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95432 and 95452.

How to find the GCF of 95432 and 95452?

We will first find the prime factorization of 95432 and 95452. After we will calculate the factors of 95432 and 95452 and find the biggest common factor number .

Step-1: Prime Factorization of 95432

Prime factors of 95432 are 2, 79, 151. Prime factorization of 95432 in exponential form is:

95432 = 2³ × 79¹ × 151¹

Step-2: Prime Factorization of 95452

Prime factors of 95452 are 2, 7, 487. Prime factorization of 95452 in exponential form is:

95452 = 2² × 7² × 487¹

Step-3: Factors of 95432

List of positive integer factors of 95432 that divides 95432 without a remainder.

1, 2, 4, 8, 79, 151, 158, 302, 316, 604, 632, 1208, 11929, 23858, 47716

Step-4: Factors of 95452

List of positive integer factors of 95452 that divides 95432 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 487, 974, 1948, 3409, 6818, 13636, 23863, 47726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95432 and 95452. The biggest common factor number is the GCF number.
So the greatest common factor 95432 and 95452 is 4.

Also check out the Least Common Multiple of 95432 and 95452