What is the Greatest Common Factor of 87057 and 87074?

Greatest common factor (GCF) of 87057 and 87074 is 17.

GCF(87057,87074) = 17

We will now calculate the prime factors of 87057 and 87074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87057 and 87074.

How to find the GCF of 87057 and 87074?

We will first find the prime factorization of 87057 and 87074. After we will calculate the factors of 87057 and 87074 and find the biggest common factor number .

Step-1: Prime Factorization of 87057

Prime factors of 87057 are 3, 17, 569. Prime factorization of 87057 in exponential form is:

87057 = 3² × 17¹ × 569¹

Step-2: Prime Factorization of 87074

Prime factors of 87074 are 2, 13, 17, 197. Prime factorization of 87074 in exponential form is:

87074 = 2¹ × 13¹ × 17¹ × 197¹

Step-3: Factors of 87057

List of positive integer factors of 87057 that divides 87057 without a remainder.

1, 3, 9, 17, 51, 153, 569, 1707, 5121, 9673, 29019

Step-4: Factors of 87074

List of positive integer factors of 87074 that divides 87057 without a remainder.

1, 2, 13, 17, 26, 34, 197, 221, 394, 442, 2561, 3349, 5122, 6698, 43537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87057 and 87074. The biggest common factor number is the GCF number.
So the greatest common factor 87057 and 87074 is 17.

Also check out the Least Common Multiple of 87057 and 87074