What is the Greatest Common Factor of 87642 and 87661?

Greatest common factor (GCF) of 87642 and 87661 is 1.

GCF(87642,87661) = 1

We will now calculate the prime factors of 87642 and 87661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87642 and 87661.

How to find the GCF of 87642 and 87661?

We will first find the prime factorization of 87642 and 87661. After we will calculate the factors of 87642 and 87661 and find the biggest common factor number .

Step-1: Prime Factorization of 87642

Prime factors of 87642 are 2, 3, 541. Prime factorization of 87642 in exponential form is:

87642 = 2¹ × 3⁴ × 541¹

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 87642

List of positive integer factors of 87642 that divides 87642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 541, 1082, 1623, 3246, 4869, 9738, 14607, 29214, 43821

Step-4: Factors of 87661

List of positive integer factors of 87661 that divides 87642 without a remainder.

1, 7, 49, 1789, 12523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87642 and 87661. The biggest common factor number is the GCF number.
So the greatest common factor 87642 and 87661 is 1.

Also check out the Least Common Multiple of 87642 and 87661