What is the Greatest Common Factor of 65700 and 65720?

Greatest common factor (GCF) of 65700 and 65720 is 20.

GCF(65700,65720) = 20

We will now calculate the prime factors of 65700 and 65720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65700 and 65720.

How to find the GCF of 65700 and 65720?

We will first find the prime factorization of 65700 and 65720. After we will calculate the factors of 65700 and 65720 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 65720

Prime factors of 65720 are 2, 5, 31, 53. Prime factorization of 65720 in exponential form is:

65720 = 2³ × 5¹ × 31¹ × 53¹

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 65720

List of positive integer factors of 65720 that divides 65700 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 53, 62, 106, 124, 155, 212, 248, 265, 310, 424, 530, 620, 1060, 1240, 1643, 2120, 3286, 6572, 8215, 13144, 16430, 32860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65700 and 65720. The biggest common factor number is the GCF number.
So the greatest common factor 65700 and 65720 is 20.

Also check out the Least Common Multiple of 65700 and 65720