What is the Greatest Common Factor of 87290 and 87300?

Greatest common factor (GCF) of 87290 and 87300 is 10.

GCF(87290,87300) = 10

We will now calculate the prime factors of 87290 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87290 and 87300.

How to find the GCF of 87290 and 87300?

We will first find the prime factorization of 87290 and 87300. After we will calculate the factors of 87290 and 87300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87300

Prime factors of 87300 are 2, 3, 5, 97. Prime factorization of 87300 in exponential form is:

87300 = 2² × 3² × 5² × 97¹

Step-3: Factors of 87290

List of positive integer factors of 87290 that divides 87290 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

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87290 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 97, 100, 150, 180, 194, 225, 291, 300, 388, 450, 485, 582, 873, 900, 970, 1164, 1455, 1746, 1940, 2425, 2910, 3492, 4365, 4850, 5820, 7275, 8730, 9700, 14550, 17460, 21825, 29100, 43650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87290 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87290 and 87300 is 10.

Also check out the Least Common Multiple of 87290 and 87300