What is the Greatest Common Factor of 66534 and 66547?

Greatest common factor (GCF) of 66534 and 66547 is 13.

GCF(66534,66547) = 13

We will now calculate the prime factors of 66534 and 66547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66534 and 66547.

How to find the GCF of 66534 and 66547?

We will first find the prime factorization of 66534 and 66547. After we will calculate the factors of 66534 and 66547 and find the biggest common factor number .

Step-1: Prime Factorization of 66534

Prime factors of 66534 are 2, 3, 13, 853. Prime factorization of 66534 in exponential form is:

66534 = 2¹ × 3¹ × 13¹ × 853¹

Step-2: Prime Factorization of 66547

Prime factors of 66547 are 13, 5119. Prime factorization of 66547 in exponential form is:

66547 = 13¹ × 5119¹

Step-3: Factors of 66534

List of positive integer factors of 66534 that divides 66534 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 853, 1706, 2559, 5118, 11089, 22178, 33267

Step-4: Factors of 66547

List of positive integer factors of 66547 that divides 66534 without a remainder.

1, 13, 5119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66534 and 66547. The biggest common factor number is the GCF number.
So the greatest common factor 66534 and 66547 is 13.

Also check out the Least Common Multiple of 66534 and 66547