What is the Greatest Common Factor of 58960 and 58970?

Greatest common factor (GCF) of 58960 and 58970 is 10.

GCF(58960,58970) = 10

We will now calculate the prime factors of 58960 and 58970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58960 and 58970.

How to find the GCF of 58960 and 58970?

We will first find the prime factorization of 58960 and 58970. After we will calculate the factors of 58960 and 58970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58970

Prime factors of 58970 are 2, 5, 5897. Prime factorization of 58970 in exponential form is:

58970 = 2¹ × 5¹ × 5897¹

Step-3: Factors of 58960

List of positive integer factors of 58960 that divides 58960 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

Step-4: Factors of 58970

List of positive integer factors of 58970 that divides 58960 without a remainder.

1, 2, 5, 10, 5897, 11794, 29485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58960 and 58970. The biggest common factor number is the GCF number.
So the greatest common factor 58960 and 58970 is 10.

Also check out the Least Common Multiple of 58960 and 58970