What is the Greatest Common Factor of 60702 and 60716?

Greatest common factor (GCF) of 60702 and 60716 is 2.

GCF(60702,60716) = 2

We will now calculate the prime factors of 60702 and 60716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60702 and 60716.

How to find the GCF of 60702 and 60716?

We will first find the prime factorization of 60702 and 60716. After we will calculate the factors of 60702 and 60716 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 60716

Prime factors of 60716 are 2, 43, 353. Prime factorization of 60716 in exponential form is:

60716 = 2² × 43¹ × 353¹

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 60716

List of positive integer factors of 60716 that divides 60702 without a remainder.

1, 2, 4, 43, 86, 172, 353, 706, 1412, 15179, 30358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60702 and 60716. The biggest common factor number is the GCF number.
So the greatest common factor 60702 and 60716 is 2.

Also check out the Least Common Multiple of 60702 and 60716