What is the Greatest Common Factor of 95440 and 95450?

Greatest common factor (GCF) of 95440 and 95450 is 10.

GCF(95440,95450) = 10

We will now calculate the prime factors of 95440 and 95450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95440 and 95450.

How to find the GCF of 95440 and 95450?

We will first find the prime factorization of 95440 and 95450. After we will calculate the factors of 95440 and 95450 and find the biggest common factor number .

Step-1: Prime Factorization of 95440

Prime factors of 95440 are 2, 5, 1193. Prime factorization of 95440 in exponential form is:

95440 = 2⁴ × 5¹ × 1193¹

Step-2: Prime Factorization of 95450

Prime factors of 95450 are 2, 5, 23, 83. Prime factorization of 95450 in exponential form is:

95450 = 2¹ × 5² × 23¹ × 83¹

Step-3: Factors of 95440

List of positive integer factors of 95440 that divides 95440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1193, 2386, 4772, 5965, 9544, 11930, 19088, 23860, 47720

Step-4: Factors of 95450

List of positive integer factors of 95450 that divides 95440 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 83, 115, 166, 230, 415, 575, 830, 1150, 1909, 2075, 3818, 4150, 9545, 19090, 47725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95440 and 95450. The biggest common factor number is the GCF number.
So the greatest common factor 95440 and 95450 is 10.

Also check out the Least Common Multiple of 95440 and 95450