What is the Greatest Common Factor of 87150 and 87164?

Greatest common factor (GCF) of 87150 and 87164 is 14.

GCF(87150,87164) = 14

We will now calculate the prime factors of 87150 and 87164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87150 and 87164.

How to find the GCF of 87150 and 87164?

We will first find the prime factorization of 87150 and 87164. After we will calculate the factors of 87150 and 87164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87164

Prime factors of 87164 are 2, 7, 11, 283. Prime factorization of 87164 in exponential form is:

87164 = 2² × 7¹ × 11¹ × 283¹

Step-3: Factors of 87150

List of positive integer factors of 87150 that divides 87150 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

Step-4: Factors of 87164

List of positive integer factors of 87164 that divides 87150 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981, 3113, 3962, 6226, 7924, 12452, 21791, 43582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87150 and 87164. The biggest common factor number is the GCF number.
So the greatest common factor 87150 and 87164 is 14.

Also check out the Least Common Multiple of 87150 and 87164