What is the Greatest Common Factor of 87270 and 87290?

Greatest common factor (GCF) of 87270 and 87290 is 10.

GCF(87270,87290) = 10

We will now calculate the prime factors of 87270 and 87290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87270 and 87290.

How to find the GCF of 87270 and 87290?

We will first find the prime factorization of 87270 and 87290. After we will calculate the factors of 87270 and 87290 and find the biggest common factor number .

Step-1: Prime Factorization of 87270

Prime factors of 87270 are 2, 3, 5, 2909. Prime factorization of 87270 in exponential form is:

87270 = 2¹ × 3¹ × 5¹ × 2909¹

Step-2: Prime Factorization of 87290

Prime factors of 87290 are 2, 5, 7, 29, 43. Prime factorization of 87290 in exponential form is:

87290 = 2¹ × 5¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 87270

List of positive integer factors of 87270 that divides 87270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2909, 5818, 8727, 14545, 17454, 29090, 43635

Step-4: Factors of 87290

List of positive integer factors of 87290 that divides 87270 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 43, 58, 70, 86, 145, 203, 215, 290, 301, 406, 430, 602, 1015, 1247, 1505, 2030, 2494, 3010, 6235, 8729, 12470, 17458, 43645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87270 and 87290. The biggest common factor number is the GCF number.
So the greatest common factor 87270 and 87290 is 10.

Also check out the Least Common Multiple of 87270 and 87290