What is the Greatest Common Factor of 87209 and 87216?

Greatest common factor (GCF) of 87209 and 87216 is 1.

GCF(87209,87216) = 1

We will now calculate the prime factors of 87209 and 87216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87209 and 87216.

How to find the GCF of 87209 and 87216?

We will first find the prime factorization of 87209 and 87216. After we will calculate the factors of 87209 and 87216 and find the biggest common factor number .

Step-1: Prime Factorization of 87209

Prime factors of 87209 are 37, 2357. Prime factorization of 87209 in exponential form is:

87209 = 37¹ × 2357¹

Step-2: Prime Factorization of 87216

Prime factors of 87216 are 2, 3, 23, 79. Prime factorization of 87216 in exponential form is:

87216 = 2⁴ × 3¹ × 23¹ × 79¹

Step-3: Factors of 87209

List of positive integer factors of 87209 that divides 87209 without a remainder.

1, 37, 2357

Step-4: Factors of 87216

List of positive integer factors of 87216 that divides 87209 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 79, 92, 138, 158, 184, 237, 276, 316, 368, 474, 552, 632, 948, 1104, 1264, 1817, 1896, 3634, 3792, 5451, 7268, 10902, 14536, 21804, 29072, 43608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87209 and 87216. The biggest common factor number is the GCF number.
So the greatest common factor 87209 and 87216 is 1.

Also check out the Least Common Multiple of 87209 and 87216