What is the Greatest Common Factor of 87030 and 87040?

Greatest common factor (GCF) of 87030 and 87040 is 10.

GCF(87030,87040) = 10

We will now calculate the prime factors of 87030 and 87040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87030 and 87040.

How to find the GCF of 87030 and 87040?

We will first find the prime factorization of 87030 and 87040. After we will calculate the factors of 87030 and 87040 and find the biggest common factor number .

Step-1: Prime Factorization of 87030

Prime factors of 87030 are 2, 3, 5, 967. Prime factorization of 87030 in exponential form is:

87030 = 2¹ × 3² × 5¹ × 967¹

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 87030

List of positive integer factors of 87030 that divides 87030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 967, 1934, 2901, 4835, 5802, 8703, 9670, 14505, 17406, 29010, 43515

Step-4: Factors of 87040

List of positive integer factors of 87040 that divides 87030 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 87030 and 87040. The biggest common factor number is the GCF number.
So the greatest common factor 87030 and 87040 is 10.

Also check out the Least Common Multiple of 87030 and 87040