What is the Greatest Common Factor of 95280 and 95290?

Greatest common factor (GCF) of 95280 and 95290 is 10.

GCF(95280,95290) = 10

We will now calculate the prime factors of 95280 and 95290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95280 and 95290.

How to find the GCF of 95280 and 95290?

We will first find the prime factorization of 95280 and 95290. After we will calculate the factors of 95280 and 95290 and find the biggest common factor number .

Step-1: Prime Factorization of 95280

Prime factors of 95280 are 2, 3, 5, 397. Prime factorization of 95280 in exponential form is:

95280 = 2⁴ × 3¹ × 5¹ × 397¹

Step-2: Prime Factorization of 95290

Prime factors of 95290 are 2, 5, 13, 733. Prime factorization of 95290 in exponential form is:

95290 = 2¹ × 5¹ × 13¹ × 733¹

Step-3: Factors of 95280

List of positive integer factors of 95280 that divides 95280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 6352, 7940, 9528, 11910, 15880, 19056, 23820, 31760, 47640

Step-4: Factors of 95290

List of positive integer factors of 95290 that divides 95280 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 733, 1466, 3665, 7330, 9529, 19058, 47645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95280 and 95290. The biggest common factor number is the GCF number.
So the greatest common factor 95280 and 95290 is 10.

Also check out the Least Common Multiple of 95280 and 95290