What is the Greatest Common Factor of 60942 and 60954?

Greatest common factor (GCF) of 60942 and 60954 is 6.

GCF(60942,60954) = 6

We will now calculate the prime factors of 60942 and 60954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60942 and 60954.

How to find the GCF of 60942 and 60954?

We will first find the prime factorization of 60942 and 60954. After we will calculate the factors of 60942 and 60954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60954

Prime factors of 60954 are 2, 3, 10159. Prime factorization of 60954 in exponential form is:

60954 = 2¹ × 3¹ × 10159¹

Step-3: Factors of 60942

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

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

Step-4: Factors of 60954

List of positive integer factors of 60954 that divides 60942 without a remainder.

1, 2, 3, 6, 10159, 20318, 30477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60942 and 60954. The biggest common factor number is the GCF number.
So the greatest common factor 60942 and 60954 is 6.

Also check out the Least Common Multiple of 60942 and 60954