What is the Greatest Common Factor of 74234 and 74252?

Greatest common factor (GCF) of 74234 and 74252 is 2.

GCF(74234,74252) = 2

We will now calculate the prime factors of 74234 and 74252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74234 and 74252.

How to find the GCF of 74234 and 74252?

We will first find the prime factorization of 74234 and 74252. After we will calculate the factors of 74234 and 74252 and find the biggest common factor number .

Step-1: Prime Factorization of 74234

Prime factors of 74234 are 2, 37117. Prime factorization of 74234 in exponential form is:

74234 = 2¹ × 37117¹

Step-2: Prime Factorization of 74252

Prime factors of 74252 are 2, 19, 977. Prime factorization of 74252 in exponential form is:

74252 = 2² × 19¹ × 977¹

Step-3: Factors of 74234

List of positive integer factors of 74234 that divides 74234 without a remainder.

1, 2, 37117

Step-4: Factors of 74252

List of positive integer factors of 74252 that divides 74234 without a remainder.

1, 2, 4, 19, 38, 76, 977, 1954, 3908, 18563, 37126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74234 and 74252. The biggest common factor number is the GCF number.
So the greatest common factor 74234 and 74252 is 2.

Also check out the Least Common Multiple of 74234 and 74252