What is the Greatest Common Factor of 58546 and 58564?

Greatest common factor (GCF) of 58546 and 58564 is 2.

GCF(58546,58564) = 2

We will now calculate the prime factors of 58546 and 58564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58546 and 58564.

How to find the GCF of 58546 and 58564?

We will first find the prime factorization of 58546 and 58564. After we will calculate the factors of 58546 and 58564 and find the biggest common factor number .

Step-1: Prime Factorization of 58546

Prime factors of 58546 are 2, 73, 401. Prime factorization of 58546 in exponential form is:

58546 = 2¹ × 73¹ × 401¹

Step-2: Prime Factorization of 58564

Prime factors of 58564 are 2, 11. Prime factorization of 58564 in exponential form is:

58564 = 2² × 11⁴

Step-3: Factors of 58546

List of positive integer factors of 58546 that divides 58546 without a remainder.

1, 2, 73, 146, 401, 802, 29273

Step-4: Factors of 58564

List of positive integer factors of 58564 that divides 58546 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324, 14641, 29282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58546 and 58564. The biggest common factor number is the GCF number.
So the greatest common factor 58546 and 58564 is 2.

Also check out the Least Common Multiple of 58546 and 58564