What is the Greatest Common Factor of 84996 and 85011?

Greatest common factor (GCF) of 84996 and 85011 is 3.

GCF(84996,85011) = 3

We will now calculate the prime factors of 84996 and 85011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84996 and 85011.

How to find the GCF of 84996 and 85011?

We will first find the prime factorization of 84996 and 85011. After we will calculate the factors of 84996 and 85011 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 85011

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

85011 = 3¹ × 43¹ × 659¹

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 85011

List of positive integer factors of 85011 that divides 84996 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84996 and 85011. The biggest common factor number is the GCF number.
So the greatest common factor 84996 and 85011 is 3.

Also check out the Least Common Multiple of 84996 and 85011