What is the Greatest Common Factor of 67735 and 67746?

Greatest common factor (GCF) of 67735 and 67746 is 1.

GCF(67735,67746) = 1

We will now calculate the prime factors of 67735 and 67746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67735 and 67746.

How to find the GCF of 67735 and 67746?

We will first find the prime factorization of 67735 and 67746. After we will calculate the factors of 67735 and 67746 and find the biggest common factor number .

Step-1: Prime Factorization of 67735

Prime factors of 67735 are 5, 19, 23, 31. Prime factorization of 67735 in exponential form is:

67735 = 5¹ × 19¹ × 23¹ × 31¹

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 67735

List of positive integer factors of 67735 that divides 67735 without a remainder.

1, 5, 19, 23, 31, 95, 115, 155, 437, 589, 713, 2185, 2945, 3565, 13547

Step-4: Factors of 67746

List of positive integer factors of 67746 that divides 67735 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 67735 and 67746. The biggest common factor number is the GCF number.
So the greatest common factor 67735 and 67746 is 1.

Also check out the Least Common Multiple of 67735 and 67746