What is the Greatest Common Factor of 51538 and 51552?

Greatest common factor (GCF) of 51538 and 51552 is 2.

GCF(51538,51552) = 2

We will now calculate the prime factors of 51538 and 51552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51538 and 51552.

How to find the GCF of 51538 and 51552?

We will first find the prime factorization of 51538 and 51552. After we will calculate the factors of 51538 and 51552 and find the biggest common factor number .

Step-1: Prime Factorization of 51538

Prime factors of 51538 are 2, 73, 353. Prime factorization of 51538 in exponential form is:

51538 = 2¹ × 73¹ × 353¹

Step-2: Prime Factorization of 51552

Prime factors of 51552 are 2, 3, 179. Prime factorization of 51552 in exponential form is:

51552 = 2⁵ × 3² × 179¹

Step-3: Factors of 51538

List of positive integer factors of 51538 that divides 51538 without a remainder.

1, 2, 73, 146, 353, 706, 25769

Step-4: Factors of 51552

List of positive integer factors of 51552 that divides 51538 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 179, 288, 358, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 5728, 6444, 8592, 12888, 17184, 25776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51538 and 51552. The biggest common factor number is the GCF number.
So the greatest common factor 51538 and 51552 is 2.

Also check out the Least Common Multiple of 51538 and 51552