What is the Greatest Common Factor of 86900 and 86920?

Greatest common factor (GCF) of 86900 and 86920 is 20.

GCF(86900,86920) = 20

We will now calculate the prime factors of 86900 and 86920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86900 and 86920.

How to find the GCF of 86900 and 86920?

We will first find the prime factorization of 86900 and 86920. After we will calculate the factors of 86900 and 86920 and find the biggest common factor number .

Step-1: Prime Factorization of 86900

Prime factors of 86900 are 2, 5, 11, 79. Prime factorization of 86900 in exponential form is:

86900 = 2² × 5² × 11¹ × 79¹

Step-2: Prime Factorization of 86920

Prime factors of 86920 are 2, 5, 41, 53. Prime factorization of 86920 in exponential form is:

86920 = 2³ × 5¹ × 41¹ × 53¹

Step-3: Factors of 86900

List of positive integer factors of 86900 that divides 86900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 79, 100, 110, 158, 220, 275, 316, 395, 550, 790, 869, 1100, 1580, 1738, 1975, 3476, 3950, 4345, 7900, 8690, 17380, 21725, 43450

Step-4: Factors of 86920

List of positive integer factors of 86920 that divides 86900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 53, 82, 106, 164, 205, 212, 265, 328, 410, 424, 530, 820, 1060, 1640, 2120, 2173, 4346, 8692, 10865, 17384, 21730, 43460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86900 and 86920. The biggest common factor number is the GCF number.
So the greatest common factor 86900 and 86920 is 20.

Also check out the Least Common Multiple of 86900 and 86920