What is the Greatest Common Factor of 85965 and 85980?

Greatest common factor (GCF) of 85965 and 85980 is 15.

GCF(85965,85980) = 15

We will now calculate the prime factors of 85965 and 85980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85965 and 85980.

How to find the GCF of 85965 and 85980?

We will first find the prime factorization of 85965 and 85980. After we will calculate the factors of 85965 and 85980 and find the biggest common factor number .

Step-1: Prime Factorization of 85965

Prime factors of 85965 are 3, 5, 11, 521. Prime factorization of 85965 in exponential form is:

85965 = 3¹ × 5¹ × 11¹ × 521¹

Step-2: Prime Factorization of 85980

Prime factors of 85980 are 2, 3, 5, 1433. Prime factorization of 85980 in exponential form is:

85980 = 2² × 3¹ × 5¹ × 1433¹

Step-3: Factors of 85965

List of positive integer factors of 85965 that divides 85965 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 521, 1563, 2605, 5731, 7815, 17193, 28655

Step-4: Factors of 85980

List of positive integer factors of 85980 that divides 85965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1433, 2866, 4299, 5732, 7165, 8598, 14330, 17196, 21495, 28660, 42990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85965 and 85980. The biggest common factor number is the GCF number.
So the greatest common factor 85965 and 85980 is 15.

Also check out the Least Common Multiple of 85965 and 85980