What is the Greatest Common Factor of 67745 and 67762?

Greatest common factor (GCF) of 67745 and 67762 is 17.

GCF(67745,67762) = 17

We will now calculate the prime factors of 67745 and 67762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67745 and 67762.

How to find the GCF of 67745 and 67762?

We will first find the prime factorization of 67745 and 67762. After we will calculate the factors of 67745 and 67762 and find the biggest common factor number .

Step-1: Prime Factorization of 67745

Prime factors of 67745 are 5, 17, 797. Prime factorization of 67745 in exponential form is:

67745 = 5¹ × 17¹ × 797¹

Step-2: Prime Factorization of 67762

Prime factors of 67762 are 2, 17, 1993. Prime factorization of 67762 in exponential form is:

67762 = 2¹ × 17¹ × 1993¹

Step-3: Factors of 67745

List of positive integer factors of 67745 that divides 67745 without a remainder.

1, 5, 17, 85, 797, 3985, 13549

Step-4: Factors of 67762

List of positive integer factors of 67762 that divides 67745 without a remainder.

1, 2, 17, 34, 1993, 3986, 33881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67745 and 67762. The biggest common factor number is the GCF number.
So the greatest common factor 67745 and 67762 is 17.

Also check out the Least Common Multiple of 67745 and 67762