What is the Greatest Common Factor of 75012 and 75019?

Greatest common factor (GCF) of 75012 and 75019 is 7.

GCF(75012,75019) = 7

We will now calculate the prime factors of 75012 and 75019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75012 and 75019.

How to find the GCF of 75012 and 75019?

We will first find the prime factorization of 75012 and 75019. After we will calculate the factors of 75012 and 75019 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 75019

Prime factors of 75019 are 7, 1531. Prime factorization of 75019 in exponential form is:

75019 = 7² × 1531¹

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 75019

List of positive integer factors of 75019 that divides 75012 without a remainder.

1, 7, 49, 1531, 10717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75012 and 75019. The biggest common factor number is the GCF number.
So the greatest common factor 75012 and 75019 is 7.

Also check out the Least Common Multiple of 75012 and 75019