What is the Greatest Common Factor of 68730 and 68749?

Greatest common factor (GCF) of 68730 and 68749 is 1.

GCF(68730,68749) = 1

We will now calculate the prime factors of 68730 and 68749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68730 and 68749.

How to find the GCF of 68730 and 68749?

We will first find the prime factorization of 68730 and 68749. After we will calculate the factors of 68730 and 68749 and find the biggest common factor number .

Step-1: Prime Factorization of 68730

Prime factors of 68730 are 2, 3, 5, 29, 79. Prime factorization of 68730 in exponential form is:

68730 = 2¹ × 3¹ × 5¹ × 29¹ × 79¹

Step-2: Prime Factorization of 68749

Prime factors of 68749 are 68749. Prime factorization of 68749 in exponential form is:

68749 = 68749¹

Step-3: Factors of 68730

List of positive integer factors of 68730 that divides 68730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 79, 87, 145, 158, 174, 237, 290, 395, 435, 474, 790, 870, 1185, 2291, 2370, 4582, 6873, 11455, 13746, 22910, 34365

Step-4: Factors of 68749

List of positive integer factors of 68749 that divides 68730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68730 and 68749. The biggest common factor number is the GCF number.
So the greatest common factor 68730 and 68749 is 1.

Also check out the Least Common Multiple of 68730 and 68749