What is the Greatest Common Factor of 60683 and 60697?

Greatest common factor (GCF) of 60683 and 60697 is 7.

GCF(60683,60697) = 7

We will now calculate the prime factors of 60683 and 60697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60683 and 60697.

How to find the GCF of 60683 and 60697?

We will first find the prime factorization of 60683 and 60697. After we will calculate the factors of 60683 and 60697 and find the biggest common factor number .

Step-1: Prime Factorization of 60683

Prime factors of 60683 are 7, 8669. Prime factorization of 60683 in exponential form is:

60683 = 7¹ × 8669¹

Step-2: Prime Factorization of 60697

Prime factors of 60697 are 7, 13, 23, 29. Prime factorization of 60697 in exponential form is:

60697 = 7¹ × 13¹ × 23¹ × 29¹

Step-3: Factors of 60683

List of positive integer factors of 60683 that divides 60683 without a remainder.

1, 7, 8669

Step-4: Factors of 60697

List of positive integer factors of 60697 that divides 60683 without a remainder.

1, 7, 13, 23, 29, 91, 161, 203, 299, 377, 667, 2093, 2639, 4669, 8671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60683 and 60697. The biggest common factor number is the GCF number.
So the greatest common factor 60683 and 60697 is 7.

Also check out the Least Common Multiple of 60683 and 60697