What is the Greatest Common Factor of 69730 and 69749?

Greatest common factor (GCF) of 69730 and 69749 is 19.

GCF(69730,69749) = 19

We will now calculate the prime factors of 69730 and 69749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69730 and 69749.

How to find the GCF of 69730 and 69749?

We will first find the prime factorization of 69730 and 69749. After we will calculate the factors of 69730 and 69749 and find the biggest common factor number .

Step-1: Prime Factorization of 69730

Prime factors of 69730 are 2, 5, 19, 367. Prime factorization of 69730 in exponential form is:

69730 = 2¹ × 5¹ × 19¹ × 367¹

Step-2: Prime Factorization of 69749

Prime factors of 69749 are 19, 3671. Prime factorization of 69749 in exponential form is:

69749 = 19¹ × 3671¹

Step-3: Factors of 69730

List of positive integer factors of 69730 that divides 69730 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 367, 734, 1835, 3670, 6973, 13946, 34865

Step-4: Factors of 69749

List of positive integer factors of 69749 that divides 69730 without a remainder.

1, 19, 3671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69730 and 69749. The biggest common factor number is the GCF number.
So the greatest common factor 69730 and 69749 is 19.

Also check out the Least Common Multiple of 69730 and 69749