What is the Greatest Common Factor of 87136 and 87142?

Greatest common factor (GCF) of 87136 and 87142 is 2.

GCF(87136,87142) = 2

We will now calculate the prime factors of 87136 and 87142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87136 and 87142.

How to find the GCF of 87136 and 87142?

We will first find the prime factorization of 87136 and 87142. After we will calculate the factors of 87136 and 87142 and find the biggest common factor number .

Step-1: Prime Factorization of 87136

Prime factors of 87136 are 2, 7, 389. Prime factorization of 87136 in exponential form is:

87136 = 2⁵ × 7¹ × 389¹

Step-2: Prime Factorization of 87142

Prime factors of 87142 are 2, 11, 17, 233. Prime factorization of 87142 in exponential form is:

87142 = 2¹ × 11¹ × 17¹ × 233¹

Step-3: Factors of 87136

List of positive integer factors of 87136 that divides 87136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 12448, 21784, 43568

Step-4: Factors of 87142

List of positive integer factors of 87142 that divides 87136 without a remainder.

1, 2, 11, 17, 22, 34, 187, 233, 374, 466, 2563, 3961, 5126, 7922, 43571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87136 and 87142. The biggest common factor number is the GCF number.
So the greatest common factor 87136 and 87142 is 2.

Also check out the Least Common Multiple of 87136 and 87142