What is the Greatest Common Factor of 95408 and 95420?

Greatest common factor (GCF) of 95408 and 95420 is 4.

GCF(95408,95420) = 4

We will now calculate the prime factors of 95408 and 95420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95408 and 95420.

How to find the GCF of 95408 and 95420?

We will first find the prime factorization of 95408 and 95420. After we will calculate the factors of 95408 and 95420 and find the biggest common factor number .

Step-1: Prime Factorization of 95408

Prime factors of 95408 are 2, 67, 89. Prime factorization of 95408 in exponential form is:

95408 = 2⁴ × 67¹ × 89¹

Step-2: Prime Factorization of 95420

Prime factors of 95420 are 2, 5, 13, 367. Prime factorization of 95420 in exponential form is:

95420 = 2² × 5¹ × 13¹ × 367¹

Step-3: Factors of 95408

List of positive integer factors of 95408 that divides 95408 without a remainder.

1, 2, 4, 8, 16, 67, 89, 134, 178, 268, 356, 536, 712, 1072, 1424, 5963, 11926, 23852, 47704

Step-4: Factors of 95420

List of positive integer factors of 95420 that divides 95408 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 367, 734, 1468, 1835, 3670, 4771, 7340, 9542, 19084, 23855, 47710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95408 and 95420. The biggest common factor number is the GCF number.
So the greatest common factor 95408 and 95420 is 4.

Also check out the Least Common Multiple of 95408 and 95420