What is the Greatest Common Factor of 74152 and 74164?

Greatest common factor (GCF) of 74152 and 74164 is 4.

GCF(74152,74164) = 4

We will now calculate the prime factors of 74152 and 74164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74152 and 74164.

How to find the GCF of 74152 and 74164?

We will first find the prime factorization of 74152 and 74164. After we will calculate the factors of 74152 and 74164 and find the biggest common factor number .

Step-1: Prime Factorization of 74152

Prime factors of 74152 are 2, 13, 23, 31. Prime factorization of 74152 in exponential form is:

74152 = 2³ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 74164

Prime factors of 74164 are 2, 18541. Prime factorization of 74164 in exponential form is:

74164 = 2² × 18541¹

Step-3: Factors of 74152

List of positive integer factors of 74152 that divides 74152 without a remainder.

1, 2, 4, 8, 13, 23, 26, 31, 46, 52, 62, 92, 104, 124, 184, 248, 299, 403, 598, 713, 806, 1196, 1426, 1612, 2392, 2852, 3224, 5704, 9269, 18538, 37076

Step-4: Factors of 74164

List of positive integer factors of 74164 that divides 74152 without a remainder.

1, 2, 4, 18541, 37082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74152 and 74164. The biggest common factor number is the GCF number.
So the greatest common factor 74152 and 74164 is 4.

Also check out the Least Common Multiple of 74152 and 74164