What is the Greatest Common Factor of 58996 and 59010?

Greatest common factor (GCF) of 58996 and 59010 is 14.

GCF(58996,59010) = 14

We will now calculate the prime factors of 58996 and 59010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58996 and 59010.

How to find the GCF of 58996 and 59010?

We will first find the prime factorization of 58996 and 59010. After we will calculate the factors of 58996 and 59010 and find the biggest common factor number .

Step-1: Prime Factorization of 58996

Prime factors of 58996 are 2, 7, 43. Prime factorization of 58996 in exponential form is:

58996 = 2² × 7³ × 43¹

Step-2: Prime Factorization of 59010

Prime factors of 59010 are 2, 3, 5, 7, 281. Prime factorization of 59010 in exponential form is:

59010 = 2¹ × 3¹ × 5¹ × 7¹ × 281¹

Step-3: Factors of 58996

List of positive integer factors of 58996 that divides 58996 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 343, 602, 686, 1204, 1372, 2107, 4214, 8428, 14749, 29498

Step-4: Factors of 59010

List of positive integer factors of 59010 that divides 58996 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 281, 562, 843, 1405, 1686, 1967, 2810, 3934, 4215, 5901, 8430, 9835, 11802, 19670, 29505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58996 and 59010. The biggest common factor number is the GCF number.
So the greatest common factor 58996 and 59010 is 14.

Also check out the Least Common Multiple of 58996 and 59010