What is the Greatest Common Factor of 85014 and 85020?

Greatest common factor (GCF) of 85014 and 85020 is 6.

GCF(85014,85020) = 6

We will now calculate the prime factors of 85014 and 85020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85014 and 85020.

How to find the GCF of 85014 and 85020?

We will first find the prime factorization of 85014 and 85020. After we will calculate the factors of 85014 and 85020 and find the biggest common factor number .

Step-1: Prime Factorization of 85014

Prime factors of 85014 are 2, 3, 4723. Prime factorization of 85014 in exponential form is:

85014 = 2¹ × 3² × 4723¹

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 85014

List of positive integer factors of 85014 that divides 85014 without a remainder.

1, 2, 3, 6, 9, 18, 4723, 9446, 14169, 28338, 42507

Step-4: Factors of 85020

List of positive integer factors of 85020 that divides 85014 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 85014 and 85020. The biggest common factor number is the GCF number.
So the greatest common factor 85014 and 85020 is 6.

Also check out the Least Common Multiple of 85014 and 85020