What is the Greatest Common Factor of 75012 and 75022?

Greatest common factor (GCF) of 75012 and 75022 is 2.

GCF(75012,75022) = 2

We will now calculate the prime factors of 75012 and 75022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75012 and 75022.

How to find the GCF of 75012 and 75022?

We will first find the prime factorization of 75012 and 75022. After we will calculate the factors of 75012 and 75022 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 75022

Prime factors of 75022 are 2, 37511. Prime factorization of 75022 in exponential form is:

75022 = 2¹ × 37511¹

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 75022

List of positive integer factors of 75022 that divides 75012 without a remainder.

1, 2, 37511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75012 and 75022. The biggest common factor number is the GCF number.
So the greatest common factor 75012 and 75022 is 2.

Also check out the Least Common Multiple of 75012 and 75022