What is the Greatest Common Factor of 65700 and 65710?

Greatest common factor (GCF) of 65700 and 65710 is 10.

GCF(65700,65710) = 10

We will now calculate the prime factors of 65700 and 65710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65700 and 65710.

How to find the GCF of 65700 and 65710?

We will first find the prime factorization of 65700 and 65710. After we will calculate the factors of 65700 and 65710 and find the biggest common factor number .

Step-1: Prime Factorization of 65700

Prime factors of 65700 are 2, 3, 5, 73. Prime factorization of 65700 in exponential form is:

65700 = 2² × 3² × 5² × 73¹

Step-2: Prime Factorization of 65710

Prime factors of 65710 are 2, 5, 6571. Prime factorization of 65710 in exponential form is:

65710 = 2¹ × 5¹ × 6571¹

Step-3: Factors of 65700

List of positive integer factors of 65700 that divides 65700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 73, 75, 90, 100, 146, 150, 180, 219, 225, 292, 300, 365, 438, 450, 657, 730, 876, 900, 1095, 1314, 1460, 1825, 2190, 2628, 3285, 3650, 4380, 5475, 6570, 7300, 10950, 13140, 16425, 21900, 32850

Step-4: Factors of 65710

List of positive integer factors of 65710 that divides 65700 without a remainder.

1, 2, 5, 10, 6571, 13142, 32855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65700 and 65710. The biggest common factor number is the GCF number.
So the greatest common factor 65700 and 65710 is 10.

Also check out the Least Common Multiple of 65700 and 65710