What is the Greatest Common Factor of 58940 and 58954?

Greatest common factor (GCF) of 58940 and 58954 is 14.

GCF(58940,58954) = 14

We will now calculate the prime factors of 58940 and 58954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58940 and 58954.

How to find the GCF of 58940 and 58954?

We will first find the prime factorization of 58940 and 58954. After we will calculate the factors of 58940 and 58954 and find the biggest common factor number .

Step-1: Prime Factorization of 58940

Prime factors of 58940 are 2, 5, 7, 421. Prime factorization of 58940 in exponential form is:

58940 = 2² × 5¹ × 7¹ × 421¹

Step-2: Prime Factorization of 58954

Prime factors of 58954 are 2, 7, 4211. Prime factorization of 58954 in exponential form is:

58954 = 2¹ × 7¹ × 4211¹

Step-3: Factors of 58940

List of positive integer factors of 58940 that divides 58940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 421, 842, 1684, 2105, 2947, 4210, 5894, 8420, 11788, 14735, 29470

Step-4: Factors of 58954

List of positive integer factors of 58954 that divides 58940 without a remainder.

1, 2, 7, 14, 4211, 8422, 29477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58940 and 58954. The biggest common factor number is the GCF number.
So the greatest common factor 58940 and 58954 is 14.

Also check out the Least Common Multiple of 58940 and 58954