What is the Greatest Common Factor of 87406 and 87417?

Greatest common factor (GCF) of 87406 and 87417 is 11.

GCF(87406,87417) = 11

We will now calculate the prime factors of 87406 and 87417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87406 and 87417.

How to find the GCF of 87406 and 87417?

We will first find the prime factorization of 87406 and 87417. After we will calculate the factors of 87406 and 87417 and find the biggest common factor number .

Step-1: Prime Factorization of 87406

Prime factors of 87406 are 2, 11, 29, 137. Prime factorization of 87406 in exponential form is:

87406 = 2¹ × 11¹ × 29¹ × 137¹

Step-2: Prime Factorization of 87417

Prime factors of 87417 are 3, 11, 883. Prime factorization of 87417 in exponential form is:

87417 = 3² × 11¹ × 883¹

Step-3: Factors of 87406

List of positive integer factors of 87406 that divides 87406 without a remainder.

1, 2, 11, 22, 29, 58, 137, 274, 319, 638, 1507, 3014, 3973, 7946, 43703

Step-4: Factors of 87417

List of positive integer factors of 87417 that divides 87406 without a remainder.

1, 3, 9, 11, 33, 99, 883, 2649, 7947, 9713, 29139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87406 and 87417. The biggest common factor number is the GCF number.
So the greatest common factor 87406 and 87417 is 11.

Also check out the Least Common Multiple of 87406 and 87417