What is the Greatest Common Factor of 60705 and 60714?

Greatest common factor (GCF) of 60705 and 60714 is 9.

GCF(60705,60714) = 9

We will now calculate the prime factors of 60705 and 60714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60705 and 60714.

How to find the GCF of 60705 and 60714?

We will first find the prime factorization of 60705 and 60714. After we will calculate the factors of 60705 and 60714 and find the biggest common factor number .

Step-1: Prime Factorization of 60705

Prime factors of 60705 are 3, 5, 19, 71. Prime factorization of 60705 in exponential form is:

60705 = 3² × 5¹ × 19¹ × 71¹

Step-2: Prime Factorization of 60714

Prime factors of 60714 are 2, 3, 3373. Prime factorization of 60714 in exponential form is:

60714 = 2¹ × 3² × 3373¹

Step-3: Factors of 60705

List of positive integer factors of 60705 that divides 60705 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 71, 95, 171, 213, 285, 355, 639, 855, 1065, 1349, 3195, 4047, 6745, 12141, 20235

Step-4: Factors of 60714

List of positive integer factors of 60714 that divides 60705 without a remainder.

1, 2, 3, 6, 9, 18, 3373, 6746, 10119, 20238, 30357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60705 and 60714. The biggest common factor number is the GCF number.
So the greatest common factor 60705 and 60714 is 9.

Also check out the Least Common Multiple of 60705 and 60714