What is the Greatest Common Factor of 87040 and 87057?

Greatest common factor (GCF) of 87040 and 87057 is 17.

GCF(87040,87057) = 17

We will now calculate the prime factors of 87040 and 87057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87040 and 87057.

How to find the GCF of 87040 and 87057?

We will first find the prime factorization of 87040 and 87057. After we will calculate the factors of 87040 and 87057 and find the biggest common factor number .

Step-1: Prime Factorization of 87040

Prime factors of 87040 are 2, 5, 17. Prime factorization of 87040 in exponential form is:

87040 = 2¹⁰ × 5¹ × 17¹

Step-2: 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-3: Factors of 87040

List of positive integer factors of 87040 that divides 87040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 256, 272, 320, 340, 512, 544, 640, 680, 1024, 1088, 1280, 1360, 2176, 2560, 2720, 4352, 5120, 5440, 8704, 10880, 17408, 21760, 43520

Step-4: Factors of 87057

List of positive integer factors of 87057 that divides 87040 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87040 and 87057. The biggest common factor number is the GCF number.
So the greatest common factor 87040 and 87057 is 17.

Also check out the Least Common Multiple of 87040 and 87057