What is the Greatest Common Factor of 85011 and 85020?

Greatest common factor (GCF) of 85011 and 85020 is 3.

GCF(85011,85020) = 3

We will now calculate the prime factors of 85011 and 85020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85011 and 85020.

How to find the GCF of 85011 and 85020?

We will first find the prime factorization of 85011 and 85020. After we will calculate the factors of 85011 and 85020 and find the biggest common factor number .

Step-1: Prime Factorization of 85011

Prime factors of 85011 are 3, 43, 659. Prime factorization of 85011 in exponential form is:

85011 = 3¹ × 43¹ × 659¹

Step-2: Prime Factorization of 85020

Prime factors of 85020 are 2, 3, 5, 13, 109. Prime factorization of 85020 in exponential form is:

85020 = 2² × 3¹ × 5¹ × 13¹ × 109¹

Step-3: Factors of 85011

List of positive integer factors of 85011 that divides 85011 without a remainder.

1, 3, 43, 129, 659, 1977, 28337

Step-4: Factors of 85020

List of positive integer factors of 85020 that divides 85011 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 109, 130, 156, 195, 218, 260, 327, 390, 436, 545, 654, 780, 1090, 1308, 1417, 1635, 2180, 2834, 3270, 4251, 5668, 6540, 7085, 8502, 14170, 17004, 21255, 28340, 42510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85011 and 85020. The biggest common factor number is the GCF number.
So the greatest common factor 85011 and 85020 is 3.

Also check out the Least Common Multiple of 85011 and 85020