What is the Greatest Common Factor of 67371 and 67380?

Greatest common factor (GCF) of 67371 and 67380 is 3.

GCF(67371,67380) = 3

We will now calculate the prime factors of 67371 and 67380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67371 and 67380.

How to find the GCF of 67371 and 67380?

We will first find the prime factorization of 67371 and 67380. After we will calculate the factors of 67371 and 67380 and find the biggest common factor number .

Step-1: Prime Factorization of 67371

Prime factors of 67371 are 3, 17, 1321. Prime factorization of 67371 in exponential form is:

67371 = 3¹ × 17¹ × 1321¹

Step-2: Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 2² × 3¹ × 5¹ × 1123¹

Step-3: Factors of 67371

List of positive integer factors of 67371 that divides 67371 without a remainder.

1, 3, 17, 51, 1321, 3963, 22457

Step-4: Factors of 67380

List of positive integer factors of 67380 that divides 67371 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67371 and 67380. The biggest common factor number is the GCF number.
So the greatest common factor 67371 and 67380 is 3.

Also check out the Least Common Multiple of 67371 and 67380