What is the Greatest Common Factor of 74670 and 74689?

Greatest common factor (GCF) of 74670 and 74689 is 19.

GCF(74670,74689) = 19

We will now calculate the prime factors of 74670 and 74689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74670 and 74689.

How to find the GCF of 74670 and 74689?

We will first find the prime factorization of 74670 and 74689. After we will calculate the factors of 74670 and 74689 and find the biggest common factor number .

Step-1: Prime Factorization of 74670

Prime factors of 74670 are 2, 3, 5, 19, 131. Prime factorization of 74670 in exponential form is:

74670 = 2¹ × 3¹ × 5¹ × 19¹ × 131¹

Step-2: Prime Factorization of 74689

Prime factors of 74689 are 19, 3931. Prime factorization of 74689 in exponential form is:

74689 = 19¹ × 3931¹

Step-3: Factors of 74670

List of positive integer factors of 74670 that divides 74670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 131, 190, 262, 285, 393, 570, 655, 786, 1310, 1965, 2489, 3930, 4978, 7467, 12445, 14934, 24890, 37335

Step-4: Factors of 74689

List of positive integer factors of 74689 that divides 74670 without a remainder.

1, 19, 3931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74670 and 74689. The biggest common factor number is the GCF number.
So the greatest common factor 74670 and 74689 is 19.

Also check out the Least Common Multiple of 74670 and 74689