What is the Greatest Common Factor of 75272 and 75284?

Greatest common factor (GCF) of 75272 and 75284 is 4.

GCF(75272,75284) = 4

We will now calculate the prime factors of 75272 and 75284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75272 and 75284.

How to find the GCF of 75272 and 75284?

We will first find the prime factorization of 75272 and 75284. After we will calculate the factors of 75272 and 75284 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 75284

Prime factors of 75284 are 2, 11, 29, 59. Prime factorization of 75284 in exponential form is:

75284 = 2² × 11¹ × 29¹ × 59¹

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 75284

List of positive integer factors of 75284 that divides 75272 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 59, 116, 118, 236, 319, 638, 649, 1276, 1298, 1711, 2596, 3422, 6844, 18821, 37642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75272 and 75284. The biggest common factor number is the GCF number.
So the greatest common factor 75272 and 75284 is 4.

Also check out the Least Common Multiple of 75272 and 75284