What is the Greatest Common Factor of 87654 and 87669?

Greatest common factor (GCF) of 87654 and 87669 is 3.

GCF(87654,87669) = 3

We will now calculate the prime factors of 87654 and 87669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87654 and 87669.

How to find the GCF of 87654 and 87669?

We will first find the prime factorization of 87654 and 87669. After we will calculate the factors of 87654 and 87669 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 87669

Prime factors of 87669 are 3, 17, 191. Prime factorization of 87669 in exponential form is:

87669 = 3³ × 17¹ × 191¹

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 87669

List of positive integer factors of 87669 that divides 87654 without a remainder.

1, 3, 9, 17, 27, 51, 153, 191, 459, 573, 1719, 3247, 5157, 9741, 29223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87654 and 87669. The biggest common factor number is the GCF number.
So the greatest common factor 87654 and 87669 is 3.

Also check out the Least Common Multiple of 87654 and 87669