What is the Greatest Common Factor of 85764 and 85770?

Greatest common factor (GCF) of 85764 and 85770 is 6.

GCF(85764,85770) = 6

We will now calculate the prime factors of 85764 and 85770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85764 and 85770.

How to find the GCF of 85764 and 85770?

We will first find the prime factorization of 85764 and 85770. After we will calculate the factors of 85764 and 85770 and find the biggest common factor number .

Step-1: Prime Factorization of 85764

Prime factors of 85764 are 2, 3, 7, 1021. Prime factorization of 85764 in exponential form is:

85764 = 2² × 3¹ × 7¹ × 1021¹

Step-2: Prime Factorization of 85770

Prime factors of 85770 are 2, 3, 5, 953. Prime factorization of 85770 in exponential form is:

85770 = 2¹ × 3² × 5¹ × 953¹

Step-3: Factors of 85764

List of positive integer factors of 85764 that divides 85764 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1021, 2042, 3063, 4084, 6126, 7147, 12252, 14294, 21441, 28588, 42882

Step-4: Factors of 85770

List of positive integer factors of 85770 that divides 85764 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 953, 1906, 2859, 4765, 5718, 8577, 9530, 14295, 17154, 28590, 42885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85764 and 85770. The biggest common factor number is the GCF number.
So the greatest common factor 85764 and 85770 is 6.

Also check out the Least Common Multiple of 85764 and 85770