What is the Greatest Common Factor of 60930 and 60942?

Greatest common factor (GCF) of 60930 and 60942 is 6.

GCF(60930,60942) = 6

We will now calculate the prime factors of 60930 and 60942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60930 and 60942.

How to find the GCF of 60930 and 60942?

We will first find the prime factorization of 60930 and 60942. After we will calculate the factors of 60930 and 60942 and find the biggest common factor number .

Step-1: Prime Factorization of 60930

Prime factors of 60930 are 2, 3, 5, 677. Prime factorization of 60930 in exponential form is:

60930 = 2¹ × 3² × 5¹ × 677¹

Step-2: Prime Factorization of 60942

Prime factors of 60942 are 2, 3, 7, 1451. Prime factorization of 60942 in exponential form is:

60942 = 2¹ × 3¹ × 7¹ × 1451¹

Step-3: Factors of 60930

List of positive integer factors of 60930 that divides 60930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 677, 1354, 2031, 3385, 4062, 6093, 6770, 10155, 12186, 20310, 30465

Step-4: Factors of 60942

List of positive integer factors of 60942 that divides 60930 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1451, 2902, 4353, 8706, 10157, 20314, 30471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60930 and 60942. The biggest common factor number is the GCF number.
So the greatest common factor 60930 and 60942 is 6.

Also check out the Least Common Multiple of 60930 and 60942