What is the Greatest Common Factor of 87408 and 87417?

Greatest common factor (GCF) of 87408 and 87417 is 9.

GCF(87408,87417) = 9

We will now calculate the prime factors of 87408 and 87417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87408 and 87417.

How to find the GCF of 87408 and 87417?

We will first find the prime factorization of 87408 and 87417. After we will calculate the factors of 87408 and 87417 and find the biggest common factor number .

Step-1: Prime Factorization of 87408

Prime factors of 87408 are 2, 3, 607. Prime factorization of 87408 in exponential form is:

87408 = 2⁴ × 3² × 607¹

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 87408

List of positive integer factors of 87408 that divides 87408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 9712, 10926, 14568, 21852, 29136, 43704

Step-4: Factors of 87417

List of positive integer factors of 87417 that divides 87408 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 87408 and 87417. The biggest common factor number is the GCF number.
So the greatest common factor 87408 and 87417 is 9.

Also check out the Least Common Multiple of 87408 and 87417