What is the Greatest Common Factor of 75472 and 75482?

Greatest common factor (GCF) of 75472 and 75482 is 2.

GCF(75472,75482) = 2

We will now calculate the prime factors of 75472 and 75482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75472 and 75482.

How to find the GCF of 75472 and 75482?

We will first find the prime factorization of 75472 and 75482. After we will calculate the factors of 75472 and 75482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75482

Prime factors of 75482 are 2, 11, 47, 73. Prime factorization of 75482 in exponential form is:

75482 = 2¹ × 11¹ × 47¹ × 73¹

Step-3: Factors of 75472

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

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

Step-4: Factors of 75482

List of positive integer factors of 75482 that divides 75472 without a remainder.

1, 2, 11, 22, 47, 73, 94, 146, 517, 803, 1034, 1606, 3431, 6862, 37741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75472 and 75482. The biggest common factor number is the GCF number.
So the greatest common factor 75472 and 75482 is 2.

Also check out the Least Common Multiple of 75472 and 75482