What is the Greatest Common Factor of 87098 and 87106?

Greatest common factor (GCF) of 87098 and 87106 is 2.

GCF(87098,87106) = 2

We will now calculate the prime factors of 87098 and 87106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87098 and 87106.

How to find the GCF of 87098 and 87106?

We will first find the prime factorization of 87098 and 87106. After we will calculate the factors of 87098 and 87106 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 87106

Prime factors of 87106 are 2, 97, 449. Prime factorization of 87106 in exponential form is:

87106 = 2¹ × 97¹ × 449¹

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 87106

List of positive integer factors of 87106 that divides 87098 without a remainder.

1, 2, 97, 194, 449, 898, 43553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87098 and 87106. The biggest common factor number is the GCF number.
So the greatest common factor 87098 and 87106 is 2.

Also check out the Least Common Multiple of 87098 and 87106