What is the Greatest Common Factor of 87007 and 87014?

Greatest common factor (GCF) of 87007 and 87014 is 1.

GCF(87007,87014) = 1

We will now calculate the prime factors of 87007 and 87014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87007 and 87014.

How to find the GCF of 87007 and 87014?

We will first find the prime factorization of 87007 and 87014. After we will calculate the factors of 87007 and 87014 and find the biggest common factor number .

Step-1: Prime Factorization of 87007

Prime factors of 87007 are 167, 521. Prime factorization of 87007 in exponential form is:

87007 = 167¹ × 521¹

Step-2: Prime Factorization of 87014

Prime factors of 87014 are 2, 139, 313. Prime factorization of 87014 in exponential form is:

87014 = 2¹ × 139¹ × 313¹

Step-3: Factors of 87007

List of positive integer factors of 87007 that divides 87007 without a remainder.

1, 167, 521

Step-4: Factors of 87014

List of positive integer factors of 87014 that divides 87007 without a remainder.

1, 2, 139, 278, 313, 626, 43507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87007 and 87014. The biggest common factor number is the GCF number.
So the greatest common factor 87007 and 87014 is 1.

Also check out the Least Common Multiple of 87007 and 87014