What is the Greatest Common Factor of 58996 and 59002?

Greatest common factor (GCF) of 58996 and 59002 is 2.

GCF(58996,59002) = 2

We will now calculate the prime factors of 58996 and 59002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58996 and 59002.

How to find the GCF of 58996 and 59002?

We will first find the prime factorization of 58996 and 59002. After we will calculate the factors of 58996 and 59002 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 59002

Prime factors of 59002 are 2, 29501. Prime factorization of 59002 in exponential form is:

59002 = 2¹ × 29501¹

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 59002

List of positive integer factors of 59002 that divides 58996 without a remainder.

1, 2, 29501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58996 and 59002. The biggest common factor number is the GCF number.
So the greatest common factor 58996 and 59002 is 2.

Also check out the Least Common Multiple of 58996 and 59002