What is the Greatest Common Factor of 65532 and 65546?

Greatest common factor (GCF) of 65532 and 65546 is 2.

GCF(65532,65546) = 2

We will now calculate the prime factors of 65532 and 65546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65532 and 65546.

How to find the GCF of 65532 and 65546?

We will first find the prime factorization of 65532 and 65546. After we will calculate the factors of 65532 and 65546 and find the biggest common factor number .

Step-1: Prime Factorization of 65532

Prime factors of 65532 are 2, 3, 43, 127. Prime factorization of 65532 in exponential form is:

65532 = 2² × 3¹ × 43¹ × 127¹

Step-2: Prime Factorization of 65546

Prime factors of 65546 are 2, 13, 2521. Prime factorization of 65546 in exponential form is:

65546 = 2¹ × 13¹ × 2521¹

Step-3: Factors of 65532

List of positive integer factors of 65532 that divides 65532 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 127, 129, 172, 254, 258, 381, 508, 516, 762, 1524, 5461, 10922, 16383, 21844, 32766

Step-4: Factors of 65546

List of positive integer factors of 65546 that divides 65532 without a remainder.

1, 2, 13, 26, 2521, 5042, 32773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65532 and 65546. The biggest common factor number is the GCF number.
So the greatest common factor 65532 and 65546 is 2.

Also check out the Least Common Multiple of 65532 and 65546