What is the Greatest Common Factor of 87162 and 87172?

Greatest common factor (GCF) of 87162 and 87172 is 2.

GCF(87162,87172) = 2

We will now calculate the prime factors of 87162 and 87172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87162 and 87172.

How to find the GCF of 87162 and 87172?

We will first find the prime factorization of 87162 and 87172. After we will calculate the factors of 87162 and 87172 and find the biggest common factor number .

Step-1: Prime Factorization of 87162

Prime factors of 87162 are 2, 3, 73, 199. Prime factorization of 87162 in exponential form is:

87162 = 2¹ × 3¹ × 73¹ × 199¹

Step-2: Prime Factorization of 87172

Prime factors of 87172 are 2, 19, 31, 37. Prime factorization of 87172 in exponential form is:

87172 = 2² × 19¹ × 31¹ × 37¹

Step-3: Factors of 87162

List of positive integer factors of 87162 that divides 87162 without a remainder.

1, 2, 3, 6, 73, 146, 199, 219, 398, 438, 597, 1194, 14527, 29054, 43581

Step-4: Factors of 87172

List of positive integer factors of 87172 that divides 87162 without a remainder.

1, 2, 4, 19, 31, 37, 38, 62, 74, 76, 124, 148, 589, 703, 1147, 1178, 1406, 2294, 2356, 2812, 4588, 21793, 43586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87162 and 87172. The biggest common factor number is the GCF number.
So the greatest common factor 87162 and 87172 is 2.

Also check out the Least Common Multiple of 87162 and 87172