What is the Greatest Common Factor of 87414 and 87422?

Greatest common factor (GCF) of 87414 and 87422 is 2.

GCF(87414,87422) = 2

We will now calculate the prime factors of 87414 and 87422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87414 and 87422.

How to find the GCF of 87414 and 87422?

We will first find the prime factorization of 87414 and 87422. After we will calculate the factors of 87414 and 87422 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 87422

Prime factors of 87422 are 2, 43711. Prime factorization of 87422 in exponential form is:

87422 = 2¹ × 43711¹

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 87422

List of positive integer factors of 87422 that divides 87414 without a remainder.

1, 2, 43711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87414 and 87422. The biggest common factor number is the GCF number.
So the greatest common factor 87414 and 87422 is 2.

Also check out the Least Common Multiple of 87414 and 87422