What is the Greatest Common Factor of 75538 and 75552?

Greatest common factor (GCF) of 75538 and 75552 is 2.

GCF(75538,75552) = 2

We will now calculate the prime factors of 75538 and 75552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75538 and 75552.

How to find the GCF of 75538 and 75552?

We will first find the prime factorization of 75538 and 75552. After we will calculate the factors of 75538 and 75552 and find the biggest common factor number .

Step-1: Prime Factorization of 75538

Prime factors of 75538 are 2, 179, 211. Prime factorization of 75538 in exponential form is:

75538 = 2¹ × 179¹ × 211¹

Step-2: Prime Factorization of 75552

Prime factors of 75552 are 2, 3, 787. Prime factorization of 75552 in exponential form is:

75552 = 2⁵ × 3¹ × 787¹

Step-3: Factors of 75538

List of positive integer factors of 75538 that divides 75538 without a remainder.

1, 2, 179, 211, 358, 422, 37769

Step-4: Factors of 75552

List of positive integer factors of 75552 that divides 75538 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 787, 1574, 2361, 3148, 4722, 6296, 9444, 12592, 18888, 25184, 37776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75538 and 75552. The biggest common factor number is the GCF number.
So the greatest common factor 75538 and 75552 is 2.

Also check out the Least Common Multiple of 75538 and 75552