What is the Greatest Common Factor of 87628 and 87638?

Greatest common factor (GCF) of 87628 and 87638 is 2.

GCF(87628,87638) = 2

We will now calculate the prime factors of 87628 and 87638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87628 and 87638.

How to find the GCF of 87628 and 87638?

We will first find the prime factorization of 87628 and 87638. After we will calculate the factors of 87628 and 87638 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 87638

Prime factors of 87638 are 2, 29, 1511. Prime factorization of 87638 in exponential form is:

87638 = 2¹ × 29¹ × 1511¹

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 87638

List of positive integer factors of 87638 that divides 87628 without a remainder.

1, 2, 29, 58, 1511, 3022, 43819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87628 and 87638. The biggest common factor number is the GCF number.
So the greatest common factor 87628 and 87638 is 2.

Also check out the Least Common Multiple of 87628 and 87638