What is the Greatest Common Factor of 87414 and 87427?

Greatest common factor (GCF) of 87414 and 87427 is 1.

GCF(87414,87427) = 1

We will now calculate the prime factors of 87414 and 87427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87414 and 87427.

How to find the GCF of 87414 and 87427?

We will first find the prime factorization of 87414 and 87427. After we will calculate the factors of 87414 and 87427 and find the biggest common factor number .

Step-1: Prime Factorization of 87414

Prime factors of 87414 are 2, 3, 17, 857. Prime factorization of 87414 in exponential form is:

87414 = 2¹ × 3¹ × 17¹ × 857¹

Step-2: Prime Factorization of 87427

Prime factors of 87427 are 87427. Prime factorization of 87427 in exponential form is:

87427 = 87427¹

Step-3: Factors of 87414

List of positive integer factors of 87414 that divides 87414 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 857, 1714, 2571, 5142, 14569, 29138, 43707

Step-4: Factors of 87427

List of positive integer factors of 87427 that divides 87414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87414 and 87427. The biggest common factor number is the GCF number.
So the greatest common factor 87414 and 87427 is 1.

Also check out the Least Common Multiple of 87414 and 87427