What is the Greatest Common Factor of 58940 and 58960?

Greatest common factor (GCF) of 58940 and 58960 is 20.

GCF(58940,58960) = 20

We will now calculate the prime factors of 58940 and 58960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58940 and 58960.

How to find the GCF of 58940 and 58960?

We will first find the prime factorization of 58940 and 58960. After we will calculate the factors of 58940 and 58960 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 58960

Prime factors of 58960 are 2, 5, 11, 67. Prime factorization of 58960 in exponential form is:

58960 = 2⁴ × 5¹ × 11¹ × 67¹

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 58960

List of positive integer factors of 58960 that divides 58940 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 67, 80, 88, 110, 134, 176, 220, 268, 335, 440, 536, 670, 737, 880, 1072, 1340, 1474, 2680, 2948, 3685, 5360, 5896, 7370, 11792, 14740, 29480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58940 and 58960. The biggest common factor number is the GCF number.
So the greatest common factor 58940 and 58960 is 20.

Also check out the Least Common Multiple of 58940 and 58960