What is the Greatest Common Factor of 67730 and 67746?

Greatest common factor (GCF) of 67730 and 67746 is 2.

GCF(67730,67746) = 2

We will now calculate the prime factors of 67730 and 67746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67730 and 67746.

How to find the GCF of 67730 and 67746?

We will first find the prime factorization of 67730 and 67746. After we will calculate the factors of 67730 and 67746 and find the biggest common factor number .

Step-1: Prime Factorization of 67730

Prime factors of 67730 are 2, 5, 13, 521. Prime factorization of 67730 in exponential form is:

67730 = 2¹ × 5¹ × 13¹ × 521¹

Step-2: Prime Factorization of 67746

Prime factors of 67746 are 2, 3, 7, 1613. Prime factorization of 67746 in exponential form is:

67746 = 2¹ × 3¹ × 7¹ × 1613¹

Step-3: Factors of 67730

List of positive integer factors of 67730 that divides 67730 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 521, 1042, 2605, 5210, 6773, 13546, 33865

Step-4: Factors of 67746

List of positive integer factors of 67746 that divides 67730 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1613, 3226, 4839, 9678, 11291, 22582, 33873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67730 and 67746. The biggest common factor number is the GCF number.
So the greatest common factor 67730 and 67746 is 2.

Also check out the Least Common Multiple of 67730 and 67746