What is the Greatest Common Factor of 87654 and 87665?

Greatest common factor (GCF) of 87654 and 87665 is 1.

GCF(87654,87665) = 1

We will now calculate the prime factors of 87654 and 87665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87654 and 87665.

How to find the GCF of 87654 and 87665?

We will first find the prime factorization of 87654 and 87665. After we will calculate the factors of 87654 and 87665 and find the biggest common factor number .

Step-1: Prime Factorization of 87654

Prime factors of 87654 are 2, 3, 7, 2087. Prime factorization of 87654 in exponential form is:

87654 = 2¹ × 3¹ × 7¹ × 2087¹

Step-2: Prime Factorization of 87665

Prime factors of 87665 are 5, 89, 197. Prime factorization of 87665 in exponential form is:

87665 = 5¹ × 89¹ × 197¹

Step-3: Factors of 87654

List of positive integer factors of 87654 that divides 87654 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2087, 4174, 6261, 12522, 14609, 29218, 43827

Step-4: Factors of 87665

List of positive integer factors of 87665 that divides 87654 without a remainder.

1, 5, 89, 197, 445, 985, 17533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87654 and 87665. The biggest common factor number is the GCF number.
So the greatest common factor 87654 and 87665 is 1.

Also check out the Least Common Multiple of 87654 and 87665