What is the Greatest Common Factor of 67697 and 67702?

Greatest common factor (GCF) of 67697 and 67702 is 1.

GCF(67697,67702) = 1

We will now calculate the prime factors of 67697 and 67702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67697 and 67702.

How to find the GCF of 67697 and 67702?

We will first find the prime factorization of 67697 and 67702. After we will calculate the factors of 67697 and 67702 and find the biggest common factor number .

Step-1: Prime Factorization of 67697

Prime factors of 67697 are 7, 19, 509. Prime factorization of 67697 in exponential form is:

67697 = 7¹ × 19¹ × 509¹

Step-2: Prime Factorization of 67702

Prime factors of 67702 are 2, 33851. Prime factorization of 67702 in exponential form is:

67702 = 2¹ × 33851¹

Step-3: Factors of 67697

List of positive integer factors of 67697 that divides 67697 without a remainder.

1, 7, 19, 133, 509, 3563, 9671

Step-4: Factors of 67702

List of positive integer factors of 67702 that divides 67697 without a remainder.

1, 2, 33851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67697 and 67702. The biggest common factor number is the GCF number.
So the greatest common factor 67697 and 67702 is 1.

Also check out the Least Common Multiple of 67697 and 67702