What is the Greatest Common Factor of 75274 and 75284?

Greatest common factor (GCF) of 75274 and 75284 is 2.

GCF(75274,75284) = 2

We will now calculate the prime factors of 75274 and 75284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75274 and 75284.

How to find the GCF of 75274 and 75284?

We will first find the prime factorization of 75274 and 75284. After we will calculate the factors of 75274 and 75284 and find the biggest common factor number .

Step-1: Prime Factorization of 75274

Prime factors of 75274 are 2, 61, 617. Prime factorization of 75274 in exponential form is:

75274 = 2¹ × 61¹ × 617¹

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 75274

List of positive integer factors of 75274 that divides 75274 without a remainder.

1, 2, 61, 122, 617, 1234, 37637

Step-4: Factors of 75284

List of positive integer factors of 75284 that divides 75274 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 75274 and 75284. The biggest common factor number is the GCF number.
So the greatest common factor 75274 and 75284 is 2.

Also check out the Least Common Multiple of 75274 and 75284