What is the Greatest Common Factor of 37472 and 37492?

Greatest common factor (GCF) of 37472 and 37492 is 4.

GCF(37472,37492) = 4

We will now calculate the prime factors of 37472 and 37492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37472 and 37492.

How to find the GCF of 37472 and 37492?

We will first find the prime factorization of 37472 and 37492. After we will calculate the factors of 37472 and 37492 and find the biggest common factor number .

Step-1: Prime Factorization of 37472

Prime factors of 37472 are 2, 1171. Prime factorization of 37472 in exponential form is:

37472 = 2⁵ × 1171¹

Step-2: Prime Factorization of 37492

Prime factors of 37492 are 2, 7, 13, 103. Prime factorization of 37492 in exponential form is:

37492 = 2² × 7¹ × 13¹ × 103¹

Step-3: Factors of 37472

List of positive integer factors of 37472 that divides 37472 without a remainder.

1, 2, 4, 8, 16, 32, 1171, 2342, 4684, 9368, 18736

Step-4: Factors of 37492

List of positive integer factors of 37492 that divides 37472 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 103, 182, 206, 364, 412, 721, 1339, 1442, 2678, 2884, 5356, 9373, 18746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37472 and 37492. The biggest common factor number is the GCF number.
So the greatest common factor 37472 and 37492 is 4.

Also check out the Least Common Multiple of 37472 and 37492