What is the Greatest Common Factor of 87654 and 87661?

Greatest common factor (GCF) of 87654 and 87661 is 7.

GCF(87654,87661) = 7

We will now calculate the prime factors of 87654 and 87661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87654 and 87661.

How to find the GCF of 87654 and 87661?

We will first find the prime factorization of 87654 and 87661. After we will calculate the factors of 87654 and 87661 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 87661

Prime factors of 87661 are 7, 1789. Prime factorization of 87661 in exponential form is:

87661 = 7² × 1789¹

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 87661

List of positive integer factors of 87661 that divides 87654 without a remainder.

1, 7, 49, 1789, 12523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87654 and 87661. The biggest common factor number is the GCF number.
So the greatest common factor 87654 and 87661 is 7.

Also check out the Least Common Multiple of 87654 and 87661