What is the Greatest Common Factor of 75458 and 75472?

Greatest common factor (GCF) of 75458 and 75472 is 2.

GCF(75458,75472) = 2

We will now calculate the prime factors of 75458 and 75472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75458 and 75472.

How to find the GCF of 75458 and 75472?

We will first find the prime factorization of 75458 and 75472. After we will calculate the factors of 75458 and 75472 and find the biggest common factor number .

Step-1: Prime Factorization of 75458

Prime factors of 75458 are 2, 29, 1301. Prime factorization of 75458 in exponential form is:

75458 = 2¹ × 29¹ × 1301¹

Step-2: Prime Factorization of 75472

Prime factors of 75472 are 2, 53, 89. Prime factorization of 75472 in exponential form is:

75472 = 2⁴ × 53¹ × 89¹

Step-3: Factors of 75458

List of positive integer factors of 75458 that divides 75458 without a remainder.

1, 2, 29, 58, 1301, 2602, 37729

Step-4: Factors of 75472

List of positive integer factors of 75472 that divides 75458 without a remainder.

1, 2, 4, 8, 16, 53, 89, 106, 178, 212, 356, 424, 712, 848, 1424, 4717, 9434, 18868, 37736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75458 and 75472. The biggest common factor number is the GCF number.
So the greatest common factor 75458 and 75472 is 2.

Also check out the Least Common Multiple of 75458 and 75472