What is the Greatest Common Factor of 58516 and 58534?

Greatest common factor (GCF) of 58516 and 58534 is 2.

GCF(58516,58534) = 2

We will now calculate the prime factors of 58516 and 58534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58516 and 58534.

How to find the GCF of 58516 and 58534?

We will first find the prime factorization of 58516 and 58534. After we will calculate the factors of 58516 and 58534 and find the biggest common factor number .

Step-1: Prime Factorization of 58516

Prime factors of 58516 are 2, 14629. Prime factorization of 58516 in exponential form is:

58516 = 2² × 14629¹

Step-2: Prime Factorization of 58534

Prime factors of 58534 are 2, 7, 37, 113. Prime factorization of 58534 in exponential form is:

58534 = 2¹ × 7¹ × 37¹ × 113¹

Step-3: Factors of 58516

List of positive integer factors of 58516 that divides 58516 without a remainder.

1, 2, 4, 14629, 29258

Step-4: Factors of 58534

List of positive integer factors of 58534 that divides 58516 without a remainder.

1, 2, 7, 14, 37, 74, 113, 226, 259, 518, 791, 1582, 4181, 8362, 29267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58516 and 58534. The biggest common factor number is the GCF number.
So the greatest common factor 58516 and 58534 is 2.

Also check out the Least Common Multiple of 58516 and 58534