What is the Greatest Common Factor of 95452 and 95468?

Greatest common factor (GCF) of 95452 and 95468 is 4.

GCF(95452,95468) = 4

We will now calculate the prime factors of 95452 and 95468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95452 and 95468.

How to find the GCF of 95452 and 95468?

We will first find the prime factorization of 95452 and 95468. After we will calculate the factors of 95452 and 95468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95468

Prime factors of 95468 are 2, 29, 823. Prime factorization of 95468 in exponential form is:

95468 = 2² × 29¹ × 823¹

Step-3: Factors of 95452

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

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

Step-4: Factors of 95468

List of positive integer factors of 95468 that divides 95452 without a remainder.

1, 2, 4, 29, 58, 116, 823, 1646, 3292, 23867, 47734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95452 and 95468. The biggest common factor number is the GCF number.
So the greatest common factor 95452 and 95468 is 4.

Also check out the Least Common Multiple of 95452 and 95468