What is the Greatest Common Factor of 87040 and 87056?

Greatest common factor (GCF) of 87040 and 87056 is 16.

GCF(87040,87056) = 16

We will now calculate the prime factors of 87040 and 87056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87040 and 87056.

How to find the GCF of 87040 and 87056?

We will first find the prime factorization of 87040 and 87056. After we will calculate the factors of 87040 and 87056 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 87056

Prime factors of 87056 are 2, 5441. Prime factorization of 87056 in exponential form is:

87056 = 2⁴ × 5441¹

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 87056

List of positive integer factors of 87056 that divides 87040 without a remainder.

1, 2, 4, 8, 16, 5441, 10882, 21764, 43528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87040 and 87056. The biggest common factor number is the GCF number.
So the greatest common factor 87040 and 87056 is 16.

Also check out the Least Common Multiple of 87040 and 87056