What is the Greatest Common Factor of 84693 and 84707?

Greatest common factor (GCF) of 84693 and 84707 is 7.

GCF(84693,84707) = 7

We will now calculate the prime factors of 84693 and 84707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84693 and 84707.

How to find the GCF of 84693 and 84707?

We will first find the prime factorization of 84693 and 84707. After we will calculate the factors of 84693 and 84707 and find the biggest common factor number .

Step-1: Prime Factorization of 84693

Prime factors of 84693 are 3, 7, 37, 109. Prime factorization of 84693 in exponential form is:

84693 = 3¹ × 7¹ × 37¹ × 109¹

Step-2: Prime Factorization of 84707

Prime factors of 84707 are 7, 12101. Prime factorization of 84707 in exponential form is:

84707 = 7¹ × 12101¹

Step-3: Factors of 84693

List of positive integer factors of 84693 that divides 84693 without a remainder.

1, 3, 7, 21, 37, 109, 111, 259, 327, 763, 777, 2289, 4033, 12099, 28231

Step-4: Factors of 84707

List of positive integer factors of 84707 that divides 84693 without a remainder.

1, 7, 12101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84693 and 84707. The biggest common factor number is the GCF number.
So the greatest common factor 84693 and 84707 is 7.

Also check out the Least Common Multiple of 84693 and 84707