What is the Greatest Common Factor of 87640 and 87654?

Greatest common factor (GCF) of 87640 and 87654 is 14.

GCF(87640,87654) = 14

We will now calculate the prime factors of 87640 and 87654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87640 and 87654.

How to find the GCF of 87640 and 87654?

We will first find the prime factorization of 87640 and 87654. After we will calculate the factors of 87640 and 87654 and find the biggest common factor number .

Step-1: Prime Factorization of 87640

Prime factors of 87640 are 2, 5, 7, 313. Prime factorization of 87640 in exponential form is:

87640 = 2³ × 5¹ × 7¹ × 313¹

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 87640

List of positive integer factors of 87640 that divides 87640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 313, 626, 1252, 1565, 2191, 2504, 3130, 4382, 6260, 8764, 10955, 12520, 17528, 21910, 43820

Step-4: Factors of 87654

List of positive integer factors of 87654 that divides 87640 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 87640 and 87654. The biggest common factor number is the GCF number.
So the greatest common factor 87640 and 87654 is 14.

Also check out the Least Common Multiple of 87640 and 87654