What is the Greatest Common Factor of 75272 and 75278?

Greatest common factor (GCF) of 75272 and 75278 is 2.

GCF(75272,75278) = 2

We will now calculate the prime factors of 75272 and 75278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75272 and 75278.

How to find the GCF of 75272 and 75278?

We will first find the prime factorization of 75272 and 75278. After we will calculate the factors of 75272 and 75278 and find the biggest common factor number .

Step-1: Prime Factorization of 75272

Prime factors of 75272 are 2, 97. Prime factorization of 75272 in exponential form is:

75272 = 2³ × 97²

Step-2: Prime Factorization of 75278

Prime factors of 75278 are 2, 7, 19, 283. Prime factorization of 75278 in exponential form is:

75278 = 2¹ × 7¹ × 19¹ × 283¹

Step-3: Factors of 75272

List of positive integer factors of 75272 that divides 75272 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776, 9409, 18818, 37636

Step-4: Factors of 75278

List of positive integer factors of 75278 that divides 75272 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 283, 566, 1981, 3962, 5377, 10754, 37639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75272 and 75278. The biggest common factor number is the GCF number.
So the greatest common factor 75272 and 75278 is 2.

Also check out the Least Common Multiple of 75272 and 75278