What is the Greatest Common Factor of 87290 and 87298?

Greatest common factor (GCF) of 87290 and 87298 is 2.

GCF(87290,87298) = 2

We will now calculate the prime factors of 87290 and 87298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87290 and 87298.

How to find the GCF of 87290 and 87298?

We will first find the prime factorization of 87290 and 87298. After we will calculate the factors of 87290 and 87298 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 87298

Prime factors of 87298 are 2, 43649. Prime factorization of 87298 in exponential form is:

87298 = 2¹ × 43649¹

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 87298

List of positive integer factors of 87298 that divides 87290 without a remainder.

1, 2, 43649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87290 and 87298. The biggest common factor number is the GCF number.
So the greatest common factor 87290 and 87298 is 2.

Also check out the Least Common Multiple of 87290 and 87298