What is the Greatest Common Factor of 75012 and 75016?

Greatest common factor (GCF) of 75012 and 75016 is 4.

GCF(75012,75016) = 4

We will now calculate the prime factors of 75012 and 75016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75012 and 75016.

How to find the GCF of 75012 and 75016?

We will first find the prime factorization of 75012 and 75016. After we will calculate the factors of 75012 and 75016 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 75016

Prime factors of 75016 are 2, 9377. Prime factorization of 75016 in exponential form is:

75016 = 2³ × 9377¹

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 75016

List of positive integer factors of 75016 that divides 75012 without a remainder.

1, 2, 4, 8, 9377, 18754, 37508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75012 and 75016. The biggest common factor number is the GCF number.
So the greatest common factor 75012 and 75016 is 4.

Also check out the Least Common Multiple of 75012 and 75016