What is the Greatest Common Factor of 52528 and 52546?

Greatest common factor (GCF) of 52528 and 52546 is 2.

GCF(52528,52546) = 2

We will now calculate the prime factors of 52528 and 52546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52528 and 52546.

How to find the GCF of 52528 and 52546?

We will first find the prime factorization of 52528 and 52546. After we will calculate the factors of 52528 and 52546 and find the biggest common factor number .

Step-1: Prime Factorization of 52528

Prime factors of 52528 are 2, 7, 67. Prime factorization of 52528 in exponential form is:

52528 = 2⁴ × 7² × 67¹

Step-2: Prime Factorization of 52546

Prime factors of 52546 are 2, 13, 43, 47. Prime factorization of 52546 in exponential form is:

52546 = 2¹ × 13¹ × 43¹ × 47¹

Step-3: Factors of 52528

List of positive integer factors of 52528 that divides 52528 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 67, 98, 112, 134, 196, 268, 392, 469, 536, 784, 938, 1072, 1876, 3283, 3752, 6566, 7504, 13132, 26264

Step-4: Factors of 52546

List of positive integer factors of 52546 that divides 52528 without a remainder.

1, 2, 13, 26, 43, 47, 86, 94, 559, 611, 1118, 1222, 2021, 4042, 26273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52528 and 52546. The biggest common factor number is the GCF number.
So the greatest common factor 52528 and 52546 is 2.

Also check out the Least Common Multiple of 52528 and 52546