What is the Greatest Common Factor of 60942 and 60949?

Greatest common factor (GCF) of 60942 and 60949 is 7.

GCF(60942,60949) = 7

We will now calculate the prime factors of 60942 and 60949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60942 and 60949.

How to find the GCF of 60942 and 60949?

We will first find the prime factorization of 60942 and 60949. After we will calculate the factors of 60942 and 60949 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 60949

Prime factors of 60949 are 7, 8707. Prime factorization of 60949 in exponential form is:

60949 = 7¹ × 8707¹

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 60949

List of positive integer factors of 60949 that divides 60942 without a remainder.

1, 7, 8707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60942 and 60949. The biggest common factor number is the GCF number.
So the greatest common factor 60942 and 60949 is 7.

Also check out the Least Common Multiple of 60942 and 60949