What is the Greatest Common Factor of 87462 and 87466?

Greatest common factor (GCF) of 87462 and 87466 is 2.

GCF(87462,87466) = 2

We will now calculate the prime factors of 87462 and 87466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87462 and 87466.

How to find the GCF of 87462 and 87466?

We will first find the prime factorization of 87462 and 87466. After we will calculate the factors of 87462 and 87466 and find the biggest common factor number .

Step-1: Prime Factorization of 87462

Prime factors of 87462 are 2, 3, 43, 113. Prime factorization of 87462 in exponential form is:

87462 = 2¹ × 3² × 43¹ × 113¹

Step-2: Prime Factorization of 87466

Prime factors of 87466 are 2, 101, 433. Prime factorization of 87466 in exponential form is:

87466 = 2¹ × 101¹ × 433¹

Step-3: Factors of 87462

List of positive integer factors of 87462 that divides 87462 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 113, 129, 226, 258, 339, 387, 678, 774, 1017, 2034, 4859, 9718, 14577, 29154, 43731

Step-4: Factors of 87466

List of positive integer factors of 87466 that divides 87462 without a remainder.

1, 2, 101, 202, 433, 866, 43733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87462 and 87466. The biggest common factor number is the GCF number.
So the greatest common factor 87462 and 87466 is 2.

Also check out the Least Common Multiple of 87462 and 87466