What is the Greatest Common Factor of 60702 and 60717?

Greatest common factor (GCF) of 60702 and 60717 is 3.

GCF(60702,60717) = 3

We will now calculate the prime factors of 60702 and 60717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60702 and 60717.

How to find the GCF of 60702 and 60717?

We will first find the prime factorization of 60702 and 60717. After we will calculate the factors of 60702 and 60717 and find the biggest common factor number .

Step-1: Prime Factorization of 60702

Prime factors of 60702 are 2, 3, 67, 151. Prime factorization of 60702 in exponential form is:

60702 = 2¹ × 3¹ × 67¹ × 151¹

Step-2: Prime Factorization of 60717

Prime factors of 60717 are 3, 37, 547. Prime factorization of 60717 in exponential form is:

60717 = 3¹ × 37¹ × 547¹

Step-3: Factors of 60702

List of positive integer factors of 60702 that divides 60702 without a remainder.

1, 2, 3, 6, 67, 134, 151, 201, 302, 402, 453, 906, 10117, 20234, 30351

Step-4: Factors of 60717

List of positive integer factors of 60717 that divides 60702 without a remainder.

1, 3, 37, 111, 547, 1641, 20239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60702 and 60717. The biggest common factor number is the GCF number.
So the greatest common factor 60702 and 60717 is 3.

Also check out the Least Common Multiple of 60702 and 60717