What is the Greatest Common Factor of 67119 and 67132?

Greatest common factor (GCF) of 67119 and 67132 is 13.

GCF(67119,67132) = 13

We will now calculate the prime factors of 67119 and 67132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67119 and 67132.

How to find the GCF of 67119 and 67132?

We will first find the prime factorization of 67119 and 67132. After we will calculate the factors of 67119 and 67132 and find the biggest common factor number .

Step-1: Prime Factorization of 67119

Prime factors of 67119 are 3, 13, 1721. Prime factorization of 67119 in exponential form is:

67119 = 3¹ × 13¹ × 1721¹

Step-2: Prime Factorization of 67132

Prime factors of 67132 are 2, 13, 1291. Prime factorization of 67132 in exponential form is:

67132 = 2² × 13¹ × 1291¹

Step-3: Factors of 67119

List of positive integer factors of 67119 that divides 67119 without a remainder.

1, 3, 13, 39, 1721, 5163, 22373

Step-4: Factors of 67132

List of positive integer factors of 67132 that divides 67119 without a remainder.

1, 2, 4, 13, 26, 52, 1291, 2582, 5164, 16783, 33566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67119 and 67132. The biggest common factor number is the GCF number.
So the greatest common factor 67119 and 67132 is 13.

Also check out the Least Common Multiple of 67119 and 67132