What is the Greatest Common Factor of 75356 and 75374?

Greatest common factor (GCF) of 75356 and 75374 is 2.

GCF(75356,75374) = 2

We will now calculate the prime factors of 75356 and 75374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75356 and 75374.

How to find the GCF of 75356 and 75374?

We will first find the prime factorization of 75356 and 75374. After we will calculate the factors of 75356 and 75374 and find the biggest common factor number .

Step-1: Prime Factorization of 75356

Prime factors of 75356 are 2, 18839. Prime factorization of 75356 in exponential form is:

75356 = 2² × 18839¹

Step-2: Prime Factorization of 75374

Prime factors of 75374 are 2, 13, 223. Prime factorization of 75374 in exponential form is:

75374 = 2¹ × 13² × 223¹

Step-3: Factors of 75356

List of positive integer factors of 75356 that divides 75356 without a remainder.

1, 2, 4, 18839, 37678

Step-4: Factors of 75374

List of positive integer factors of 75374 that divides 75356 without a remainder.

1, 2, 13, 26, 169, 223, 338, 446, 2899, 5798, 37687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75356 and 75374. The biggest common factor number is the GCF number.
So the greatest common factor 75356 and 75374 is 2.

Also check out the Least Common Multiple of 75356 and 75374