What is the Greatest Common Factor of 87010 and 87017?

Greatest common factor (GCF) of 87010 and 87017 is 7.

GCF(87010,87017) = 7

We will now calculate the prime factors of 87010 and 87017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87010 and 87017.

How to find the GCF of 87010 and 87017?

We will first find the prime factorization of 87010 and 87017. After we will calculate the factors of 87010 and 87017 and find the biggest common factor number .

Step-1: Prime Factorization of 87010

Prime factors of 87010 are 2, 5, 7, 11, 113. Prime factorization of 87010 in exponential form is:

87010 = 2¹ × 5¹ × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 87017

Prime factors of 87017 are 7, 31, 401. Prime factorization of 87017 in exponential form is:

87017 = 7¹ × 31¹ × 401¹

Step-3: Factors of 87010

List of positive integer factors of 87010 that divides 87010 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 113, 154, 226, 385, 565, 770, 791, 1130, 1243, 1582, 2486, 3955, 6215, 7910, 8701, 12430, 17402, 43505

Step-4: Factors of 87017

List of positive integer factors of 87017 that divides 87010 without a remainder.

1, 7, 31, 217, 401, 2807, 12431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87010 and 87017. The biggest common factor number is the GCF number.
So the greatest common factor 87010 and 87017 is 7.

Also check out the Least Common Multiple of 87010 and 87017