What is the Greatest Common Factor of 87136 and 87150?

Greatest common factor (GCF) of 87136 and 87150 is 14.

GCF(87136,87150) = 14

We will now calculate the prime factors of 87136 and 87150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87136 and 87150.

How to find the GCF of 87136 and 87150?

We will first find the prime factorization of 87136 and 87150. After we will calculate the factors of 87136 and 87150 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 87150

Prime factors of 87150 are 2, 3, 5, 7, 83. Prime factorization of 87150 in exponential form is:

87150 = 2¹ × 3¹ × 5² × 7¹ × 83¹

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 87150

List of positive integer factors of 87150 that divides 87136 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 83, 105, 150, 166, 175, 210, 249, 350, 415, 498, 525, 581, 830, 1050, 1162, 1245, 1743, 2075, 2490, 2905, 3486, 4150, 5810, 6225, 8715, 12450, 14525, 17430, 29050, 43575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87136 and 87150. The biggest common factor number is the GCF number.
So the greatest common factor 87136 and 87150 is 14.

Also check out the Least Common Multiple of 87136 and 87150