What is the Greatest Common Factor of 37252 and 37266?

Greatest common factor (GCF) of 37252 and 37266 is 2.

GCF(37252,37266) = 2

We will now calculate the prime factors of 37252 and 37266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37252 and 37266.

How to find the GCF of 37252 and 37266?

We will first find the prime factorization of 37252 and 37266. After we will calculate the factors of 37252 and 37266 and find the biggest common factor number .

Step-1: Prime Factorization of 37252

Prime factors of 37252 are 2, 67, 139. Prime factorization of 37252 in exponential form is:

37252 = 2² × 67¹ × 139¹

Step-2: Prime Factorization of 37266

Prime factors of 37266 are 2, 3, 6211. Prime factorization of 37266 in exponential form is:

37266 = 2¹ × 3¹ × 6211¹

Step-3: Factors of 37252

List of positive integer factors of 37252 that divides 37252 without a remainder.

1, 2, 4, 67, 134, 139, 268, 278, 556, 9313, 18626

Step-4: Factors of 37266

List of positive integer factors of 37266 that divides 37252 without a remainder.

1, 2, 3, 6, 6211, 12422, 18633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37252 and 37266. The biggest common factor number is the GCF number.
So the greatest common factor 37252 and 37266 is 2.

Also check out the Least Common Multiple of 37252 and 37266