What is the Greatest Common Factor of 65700 and 65716?

Greatest common factor (GCF) of 65700 and 65716 is 4.

GCF(65700,65716) = 4

We will now calculate the prime factors of 65700 and 65716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65700 and 65716.

How to find the GCF of 65700 and 65716?

We will first find the prime factorization of 65700 and 65716. After we will calculate the factors of 65700 and 65716 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 65716

Prime factors of 65716 are 2, 7, 2347. Prime factorization of 65716 in exponential form is:

65716 = 2² × 7¹ × 2347¹

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 65716

List of positive integer factors of 65716 that divides 65700 without a remainder.

1, 2, 4, 7, 14, 28, 2347, 4694, 9388, 16429, 32858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65700 and 65716. The biggest common factor number is the GCF number.
So the greatest common factor 65700 and 65716 is 4.

Also check out the Least Common Multiple of 65700 and 65716