What is the Greatest Common Factor of 95470 and 95490?

Greatest common factor (GCF) of 95470 and 95490 is 10.

GCF(95470,95490) = 10

We will now calculate the prime factors of 95470 and 95490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95470 and 95490.

How to find the GCF of 95470 and 95490?

We will first find the prime factorization of 95470 and 95490. After we will calculate the factors of 95470 and 95490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95490

Prime factors of 95490 are 2, 3, 5, 1061. Prime factorization of 95490 in exponential form is:

95490 = 2¹ × 3² × 5¹ × 1061¹

Step-3: Factors of 95470

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

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

Step-4: Factors of 95490

List of positive integer factors of 95490 that divides 95470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1061, 2122, 3183, 5305, 6366, 9549, 10610, 15915, 19098, 31830, 47745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95470 and 95490. The biggest common factor number is the GCF number.
So the greatest common factor 95470 and 95490 is 10.

Also check out the Least Common Multiple of 95470 and 95490