What is the Greatest Common Factor of 58534 and 58552?

Greatest common factor (GCF) of 58534 and 58552 is 2.

GCF(58534,58552) = 2

We will now calculate the prime factors of 58534 and 58552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58534 and 58552.

How to find the GCF of 58534 and 58552?

We will first find the prime factorization of 58534 and 58552. After we will calculate the factors of 58534 and 58552 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 58534

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

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

Step-4: Factors of 58552

List of positive integer factors of 58552 that divides 58534 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58534 and 58552. The biggest common factor number is the GCF number.
So the greatest common factor 58534 and 58552 is 2.

Also check out the Least Common Multiple of 58534 and 58552