What is the Greatest Common Factor of 60698 and 60707?

Greatest common factor (GCF) of 60698 and 60707 is 1.

GCF(60698,60707) = 1

We will now calculate the prime factors of 60698 and 60707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60698 and 60707.

How to find the GCF of 60698 and 60707?

We will first find the prime factorization of 60698 and 60707. After we will calculate the factors of 60698 and 60707 and find the biggest common factor number .

Step-1: Prime Factorization of 60698

Prime factors of 60698 are 2, 11, 31, 89. Prime factorization of 60698 in exponential form is:

60698 = 2¹ × 11¹ × 31¹ × 89¹

Step-2: Prime Factorization of 60707

Prime factors of 60707 are 17, 3571. Prime factorization of 60707 in exponential form is:

60707 = 17¹ × 3571¹

Step-3: Factors of 60698

List of positive integer factors of 60698 that divides 60698 without a remainder.

1, 2, 11, 22, 31, 62, 89, 178, 341, 682, 979, 1958, 2759, 5518, 30349

Step-4: Factors of 60707

List of positive integer factors of 60707 that divides 60698 without a remainder.

1, 17, 3571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60698 and 60707. The biggest common factor number is the GCF number.
So the greatest common factor 60698 and 60707 is 1.

Also check out the Least Common Multiple of 60698 and 60707