What is the Greatest Common Factor of 87098 and 87109?

Greatest common factor (GCF) of 87098 and 87109 is 11.

GCF(87098,87109) = 11

We will now calculate the prime factors of 87098 and 87109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87098 and 87109.

How to find the GCF of 87098 and 87109?

We will first find the prime factorization of 87098 and 87109. After we will calculate the factors of 87098 and 87109 and find the biggest common factor number .

Step-1: Prime Factorization of 87098

Prime factors of 87098 are 2, 11, 37, 107. Prime factorization of 87098 in exponential form is:

87098 = 2¹ × 11¹ × 37¹ × 107¹

Step-2: Prime Factorization of 87109

Prime factors of 87109 are 11, 7919. Prime factorization of 87109 in exponential form is:

87109 = 11¹ × 7919¹

Step-3: Factors of 87098

List of positive integer factors of 87098 that divides 87098 without a remainder.

1, 2, 11, 22, 37, 74, 107, 214, 407, 814, 1177, 2354, 3959, 7918, 43549

Step-4: Factors of 87109

List of positive integer factors of 87109 that divides 87098 without a remainder.

1, 11, 7919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87098 and 87109. The biggest common factor number is the GCF number.
So the greatest common factor 87098 and 87109 is 11.

Also check out the Least Common Multiple of 87098 and 87109