What is the Greatest Common Factor of 86720 and 86735?

Greatest common factor (GCF) of 86720 and 86735 is 5.

GCF(86720,86735) = 5

We will now calculate the prime factors of 86720 and 86735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86720 and 86735.

How to find the GCF of 86720 and 86735?

We will first find the prime factorization of 86720 and 86735. After we will calculate the factors of 86720 and 86735 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 86735

Prime factors of 86735 are 5, 11, 19, 83. Prime factorization of 86735 in exponential form is:

86735 = 5¹ × 11¹ × 19¹ × 83¹

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 86735

List of positive integer factors of 86735 that divides 86720 without a remainder.

1, 5, 11, 19, 55, 83, 95, 209, 415, 913, 1045, 1577, 4565, 7885, 17347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86720 and 86735. The biggest common factor number is the GCF number.
So the greatest common factor 86720 and 86735 is 5.

Also check out the Least Common Multiple of 86720 and 86735