What is the Greatest Common Factor of 75012 and 75031?

Greatest common factor (GCF) of 75012 and 75031 is 19.

GCF(75012,75031) = 19

We will now calculate the prime factors of 75012 and 75031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75012 and 75031.

How to find the GCF of 75012 and 75031?

We will first find the prime factorization of 75012 and 75031. After we will calculate the factors of 75012 and 75031 and find the biggest common factor number .

Step-1: Prime Factorization of 75012

Prime factors of 75012 are 2, 3, 7, 19, 47. Prime factorization of 75012 in exponential form is:

75012 = 2² × 3¹ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 75031

Prime factors of 75031 are 11, 19, 359. Prime factorization of 75031 in exponential form is:

75031 = 11¹ × 19¹ × 359¹

Step-3: Factors of 75012

List of positive integer factors of 75012 that divides 75012 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 47, 57, 76, 84, 94, 114, 133, 141, 188, 228, 266, 282, 329, 399, 532, 564, 658, 798, 893, 987, 1316, 1596, 1786, 1974, 2679, 3572, 3948, 5358, 6251, 10716, 12502, 18753, 25004, 37506

Step-4: Factors of 75031

List of positive integer factors of 75031 that divides 75012 without a remainder.

1, 11, 19, 209, 359, 3949, 6821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75012 and 75031. The biggest common factor number is the GCF number.
So the greatest common factor 75012 and 75031 is 19.

Also check out the Least Common Multiple of 75012 and 75031