What is the Greatest Common Factor of 87642 and 87654?

Greatest common factor (GCF) of 87642 and 87654 is 6.

GCF(87642,87654) = 6

We will now calculate the prime factors of 87642 and 87654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87642 and 87654.

How to find the GCF of 87642 and 87654?

We will first find the prime factorization of 87642 and 87654. After we will calculate the factors of 87642 and 87654 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 87654

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

87654 = 2¹ × 3¹ × 7¹ × 2087¹

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 87654

List of positive integer factors of 87654 that divides 87642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87642 and 87654. The biggest common factor number is the GCF number.
So the greatest common factor 87642 and 87654 is 6.

Also check out the Least Common Multiple of 87642 and 87654