What is the Greatest Common Factor of 75146 and 75164?

Greatest common factor (GCF) of 75146 and 75164 is 2.

GCF(75146,75164) = 2

We will now calculate the prime factors of 75146 and 75164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75146 and 75164.

How to find the GCF of 75146 and 75164?

We will first find the prime factorization of 75146 and 75164. After we will calculate the factors of 75146 and 75164 and find the biggest common factor number .

Step-1: Prime Factorization of 75146

Prime factors of 75146 are 2, 37573. Prime factorization of 75146 in exponential form is:

75146 = 2¹ × 37573¹

Step-2: Prime Factorization of 75164

Prime factors of 75164 are 2, 19, 23, 43. Prime factorization of 75164 in exponential form is:

75164 = 2² × 19¹ × 23¹ × 43¹

Step-3: Factors of 75146

List of positive integer factors of 75146 that divides 75146 without a remainder.

1, 2, 37573

Step-4: Factors of 75164

List of positive integer factors of 75164 that divides 75146 without a remainder.

1, 2, 4, 19, 23, 38, 43, 46, 76, 86, 92, 172, 437, 817, 874, 989, 1634, 1748, 1978, 3268, 3956, 18791, 37582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75146 and 75164. The biggest common factor number is the GCF number.
So the greatest common factor 75146 and 75164 is 2.

Also check out the Least Common Multiple of 75146 and 75164