What is the Greatest Common Factor of 95450 and 95470?

Greatest common factor (GCF) of 95450 and 95470 is 10.

GCF(95450,95470) = 10

We will now calculate the prime factors of 95450 and 95470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95450 and 95470.

How to find the GCF of 95450 and 95470?

We will first find the prime factorization of 95450 and 95470. After we will calculate the factors of 95450 and 95470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95470

Prime factors of 95470 are 2, 5, 9547. Prime factorization of 95470 in exponential form is:

95470 = 2¹ × 5¹ × 9547¹

Step-3: Factors of 95450

List of positive integer factors of 95450 that divides 95450 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

Step-4: Factors of 95470

List of positive integer factors of 95470 that divides 95450 without a remainder.

1, 2, 5, 10, 9547, 19094, 47735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95450 and 95470. The biggest common factor number is the GCF number.
So the greatest common factor 95450 and 95470 is 10.

Also check out the Least Common Multiple of 95450 and 95470