What is the Greatest Common Factor of 87100 and 87119?

Greatest common factor (GCF) of 87100 and 87119 is 1.

GCF(87100,87119) = 1

We will now calculate the prime factors of 87100 and 87119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87100 and 87119.

How to find the GCF of 87100 and 87119?

We will first find the prime factorization of 87100 and 87119. After we will calculate the factors of 87100 and 87119 and find the biggest common factor number .

Step-1: Prime Factorization of 87100

Prime factors of 87100 are 2, 5, 13, 67. Prime factorization of 87100 in exponential form is:

87100 = 2² × 5² × 13¹ × 67¹

Step-2: Prime Factorization of 87119

Prime factors of 87119 are 87119. Prime factorization of 87119 in exponential form is:

87119 = 87119¹

Step-3: Factors of 87100

List of positive integer factors of 87100 that divides 87100 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 67, 100, 130, 134, 260, 268, 325, 335, 650, 670, 871, 1300, 1340, 1675, 1742, 3350, 3484, 4355, 6700, 8710, 17420, 21775, 43550

Step-4: Factors of 87119

List of positive integer factors of 87119 that divides 87100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87100 and 87119. The biggest common factor number is the GCF number.
So the greatest common factor 87100 and 87119 is 1.

Also check out the Least Common Multiple of 87100 and 87119