What is the Greatest Common Factor of 75014 and 75034?

Greatest common factor (GCF) of 75014 and 75034 is 2.

GCF(75014,75034) = 2

We will now calculate the prime factors of 75014 and 75034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75014 and 75034.

How to find the GCF of 75014 and 75034?

We will first find the prime factorization of 75014 and 75034. After we will calculate the factors of 75014 and 75034 and find the biggest common factor number .

Step-1: Prime Factorization of 75014

Prime factors of 75014 are 2, 37507. Prime factorization of 75014 in exponential form is:

75014 = 2¹ × 37507¹

Step-2: Prime Factorization of 75034

Prime factors of 75034 are 2, 37517. Prime factorization of 75034 in exponential form is:

75034 = 2¹ × 37517¹

Step-3: Factors of 75014

List of positive integer factors of 75014 that divides 75014 without a remainder.

1, 2, 37507

Step-4: Factors of 75034

List of positive integer factors of 75034 that divides 75014 without a remainder.

1, 2, 37517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75014 and 75034. The biggest common factor number is the GCF number.
So the greatest common factor 75014 and 75034 is 2.

Also check out the Least Common Multiple of 75014 and 75034