What is the Greatest Common Factor of 84996 and 85014?

Greatest common factor (GCF) of 84996 and 85014 is 18.

GCF(84996,85014) = 18

We will now calculate the prime factors of 84996 and 85014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84996 and 85014.

How to find the GCF of 84996 and 85014?

We will first find the prime factorization of 84996 and 85014. After we will calculate the factors of 84996 and 85014 and find the biggest common factor number .

Step-1: Prime Factorization of 84996

Prime factors of 84996 are 2, 3, 787. Prime factorization of 84996 in exponential form is:

84996 = 2² × 3³ × 787¹

Step-2: 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-3: Factors of 84996

List of positive integer factors of 84996 that divides 84996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 787, 1574, 2361, 3148, 4722, 7083, 9444, 14166, 21249, 28332, 42498

Step-4: Factors of 85014

List of positive integer factors of 85014 that divides 84996 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84996 and 85014. The biggest common factor number is the GCF number.
So the greatest common factor 84996 and 85014 is 18.

Also check out the Least Common Multiple of 84996 and 85014