What is the Greatest Common Factor of 50164 and 50172?

Greatest common factor (GCF) of 50164 and 50172 is 4.

GCF(50164,50172) = 4

We will now calculate the prime factors of 50164 and 50172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50164 and 50172.

How to find the GCF of 50164 and 50172?

We will first find the prime factorization of 50164 and 50172. After we will calculate the factors of 50164 and 50172 and find the biggest common factor number .

Step-1: Prime Factorization of 50164

Prime factors of 50164 are 2, 12541. Prime factorization of 50164 in exponential form is:

50164 = 2² × 12541¹

Step-2: Prime Factorization of 50172

Prime factors of 50172 are 2, 3, 37, 113. Prime factorization of 50172 in exponential form is:

50172 = 2² × 3¹ × 37¹ × 113¹

Step-3: Factors of 50164

List of positive integer factors of 50164 that divides 50164 without a remainder.

1, 2, 4, 12541, 25082

Step-4: Factors of 50172

List of positive integer factors of 50172 that divides 50164 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 113, 148, 222, 226, 339, 444, 452, 678, 1356, 4181, 8362, 12543, 16724, 25086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50164 and 50172. The biggest common factor number is the GCF number.
So the greatest common factor 50164 and 50172 is 4.

Also check out the Least Common Multiple of 50164 and 50172