What is the Greatest Common Factor of 87023 and 87040?

Greatest common factor (GCF) of 87023 and 87040 is 17.

GCF(87023,87040) = 17

We will now calculate the prime factors of 87023 and 87040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87023 and 87040.

How to find the GCF of 87023 and 87040?

We will first find the prime factorization of 87023 and 87040. After we will calculate the factors of 87023 and 87040 and find the biggest common factor number .

Step-1: Prime Factorization of 87023

Prime factors of 87023 are 17, 5119. Prime factorization of 87023 in exponential form is:

87023 = 17¹ × 5119¹

Step-2: 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-3: Factors of 87023

List of positive integer factors of 87023 that divides 87023 without a remainder.

1, 17, 5119

Step-4: Factors of 87040

List of positive integer factors of 87040 that divides 87023 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87023 and 87040. The biggest common factor number is the GCF number.
So the greatest common factor 87023 and 87040 is 17.

Also check out the Least Common Multiple of 87023 and 87040