What is the Greatest Common Factor of 87114 and 87118?

Greatest common factor (GCF) of 87114 and 87118 is 2.

GCF(87114,87118) = 2

We will now calculate the prime factors of 87114 and 87118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87114 and 87118.

How to find the GCF of 87114 and 87118?

We will first find the prime factorization of 87114 and 87118. After we will calculate the factors of 87114 and 87118 and find the biggest common factor number .

Step-1: Prime Factorization of 87114

Prime factors of 87114 are 2, 3, 14519. Prime factorization of 87114 in exponential form is:

87114 = 2¹ × 3¹ × 14519¹

Step-2: Prime Factorization of 87118

Prime factors of 87118 are 2, 43, 1013. Prime factorization of 87118 in exponential form is:

87118 = 2¹ × 43¹ × 1013¹

Step-3: Factors of 87114

List of positive integer factors of 87114 that divides 87114 without a remainder.

1, 2, 3, 6, 14519, 29038, 43557

Step-4: Factors of 87118

List of positive integer factors of 87118 that divides 87114 without a remainder.

1, 2, 43, 86, 1013, 2026, 43559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87114 and 87118. The biggest common factor number is the GCF number.
So the greatest common factor 87114 and 87118 is 2.

Also check out the Least Common Multiple of 87114 and 87118