What is the Greatest Common Factor of 67074 and 67083?

Greatest common factor (GCF) of 67074 and 67083 is 3.

GCF(67074,67083) = 3

We will now calculate the prime factors of 67074 and 67083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67074 and 67083.

How to find the GCF of 67074 and 67083?

We will first find the prime factorization of 67074 and 67083. After we will calculate the factors of 67074 and 67083 and find the biggest common factor number .

Step-1: Prime Factorization of 67074

Prime factors of 67074 are 2, 3, 7, 1597. Prime factorization of 67074 in exponential form is:

67074 = 2¹ × 3¹ × 7¹ × 1597¹

Step-2: Prime Factorization of 67083

Prime factors of 67083 are 3, 59, 379. Prime factorization of 67083 in exponential form is:

67083 = 3¹ × 59¹ × 379¹

Step-3: Factors of 67074

List of positive integer factors of 67074 that divides 67074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1597, 3194, 4791, 9582, 11179, 22358, 33537

Step-4: Factors of 67083

List of positive integer factors of 67083 that divides 67074 without a remainder.

1, 3, 59, 177, 379, 1137, 22361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67074 and 67083. The biggest common factor number is the GCF number.
So the greatest common factor 67074 and 67083 is 3.

Also check out the Least Common Multiple of 67074 and 67083