What is the Greatest Common Factor of 87628 and 87640?

Greatest common factor (GCF) of 87628 and 87640 is 4.

GCF(87628,87640) = 4

We will now calculate the prime factors of 87628 and 87640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87628 and 87640.

How to find the GCF of 87628 and 87640?

We will first find the prime factorization of 87628 and 87640. After we will calculate the factors of 87628 and 87640 and find the biggest common factor number .

Step-1: Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 2² × 19¹ × 1153¹

Step-2: 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-3: Factors of 87628

List of positive integer factors of 87628 that divides 87628 without a remainder.

1, 2, 4, 19, 38, 76, 1153, 2306, 4612, 21907, 43814

Step-4: Factors of 87640

List of positive integer factors of 87640 that divides 87628 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87628 and 87640. The biggest common factor number is the GCF number.
So the greatest common factor 87628 and 87640 is 4.

Also check out the Least Common Multiple of 87628 and 87640