What is the Greatest Common Factor of 86720 and 86730?

Greatest common factor (GCF) of 86720 and 86730 is 10.

GCF(86720,86730) = 10

We will now calculate the prime factors of 86720 and 86730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86720 and 86730.

How to find the GCF of 86720 and 86730?

We will first find the prime factorization of 86720 and 86730. After we will calculate the factors of 86720 and 86730 and find the biggest common factor number .

Step-1: Prime Factorization of 86720

Prime factors of 86720 are 2, 5, 271. Prime factorization of 86720 in exponential form is:

86720 = 2⁶ × 5¹ × 271¹

Step-2: Prime Factorization of 86730

Prime factors of 86730 are 2, 3, 5, 7, 59. Prime factorization of 86730 in exponential form is:

86730 = 2¹ × 3¹ × 5¹ × 7² × 59¹

Step-3: Factors of 86720

List of positive integer factors of 86720 that divides 86720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 271, 320, 542, 1084, 1355, 2168, 2710, 4336, 5420, 8672, 10840, 17344, 21680, 43360

Step-4: Factors of 86730

List of positive integer factors of 86730 that divides 86720 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 59, 70, 98, 105, 118, 147, 177, 210, 245, 294, 295, 354, 413, 490, 590, 735, 826, 885, 1239, 1470, 1770, 2065, 2478, 2891, 4130, 5782, 6195, 8673, 12390, 14455, 17346, 28910, 43365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86720 and 86730. The biggest common factor number is the GCF number.
So the greatest common factor 86720 and 86730 is 10.

Also check out the Least Common Multiple of 86720 and 86730