What is the Greatest Common Factor of 87462 and 87467?

Greatest common factor (GCF) of 87462 and 87467 is 1.

GCF(87462,87467) = 1

We will now calculate the prime factors of 87462 and 87467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87462 and 87467.

How to find the GCF of 87462 and 87467?

We will first find the prime factorization of 87462 and 87467. After we will calculate the factors of 87462 and 87467 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 87467

Prime factors of 87467 are 47, 1861. Prime factorization of 87467 in exponential form is:

87467 = 47¹ × 1861¹

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 87467

List of positive integer factors of 87467 that divides 87462 without a remainder.

1, 47, 1861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87462 and 87467. The biggest common factor number is the GCF number.
So the greatest common factor 87462 and 87467 is 1.

Also check out the Least Common Multiple of 87462 and 87467