What is the Greatest Common Factor of 58552 and 58570?

Greatest common factor (GCF) of 58552 and 58570 is 2.

GCF(58552,58570) = 2

We will now calculate the prime factors of 58552 and 58570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58552 and 58570.

How to find the GCF of 58552 and 58570?

We will first find the prime factorization of 58552 and 58570. After we will calculate the factors of 58552 and 58570 and find the biggest common factor number .

Step-1: Prime Factorization of 58552

Prime factors of 58552 are 2, 13, 563. Prime factorization of 58552 in exponential form is:

58552 = 2³ × 13¹ × 563¹

Step-2: Prime Factorization of 58570

Prime factors of 58570 are 2, 5, 5857. Prime factorization of 58570 in exponential form is:

58570 = 2¹ × 5¹ × 5857¹

Step-3: Factors of 58552

List of positive integer factors of 58552 that divides 58552 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 563, 1126, 2252, 4504, 7319, 14638, 29276

Step-4: Factors of 58570

List of positive integer factors of 58570 that divides 58552 without a remainder.

1, 2, 5, 10, 5857, 11714, 29285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58552 and 58570. The biggest common factor number is the GCF number.
So the greatest common factor 58552 and 58570 is 2.

Also check out the Least Common Multiple of 58552 and 58570