What is the Greatest Common Factor of 67059 and 67074?

Greatest common factor (GCF) of 67059 and 67074 is 3.

GCF(67059,67074) = 3

We will now calculate the prime factors of 67059 and 67074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67059 and 67074.

How to find the GCF of 67059 and 67074?

We will first find the prime factorization of 67059 and 67074. After we will calculate the factors of 67059 and 67074 and find the biggest common factor number .

Step-1: Prime Factorization of 67059

Prime factors of 67059 are 3, 7451. Prime factorization of 67059 in exponential form is:

67059 = 3² × 7451¹

Step-2: 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-3: Factors of 67059

List of positive integer factors of 67059 that divides 67059 without a remainder.

1, 3, 9, 7451, 22353

Step-4: Factors of 67074

List of positive integer factors of 67074 that divides 67059 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67059 and 67074. The biggest common factor number is the GCF number.
So the greatest common factor 67059 and 67074 is 3.

Also check out the Least Common Multiple of 67059 and 67074