What is the Greatest Common Factor of 37478 and 37492?

Greatest common factor (GCF) of 37478 and 37492 is 14.

GCF(37478,37492) = 14

We will now calculate the prime factors of 37478 and 37492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37478 and 37492.

How to find the GCF of 37478 and 37492?

We will first find the prime factorization of 37478 and 37492. After we will calculate the factors of 37478 and 37492 and find the biggest common factor number .

Step-1: Prime Factorization of 37478

Prime factors of 37478 are 2, 7, 2677. Prime factorization of 37478 in exponential form is:

37478 = 2¹ × 7¹ × 2677¹

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 37478

List of positive integer factors of 37478 that divides 37478 without a remainder.

1, 2, 7, 14, 2677, 5354, 18739

Step-4: Factors of 37492

List of positive integer factors of 37492 that divides 37478 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 37478 and 37492. The biggest common factor number is the GCF number.
So the greatest common factor 37478 and 37492 is 14.

Also check out the Least Common Multiple of 37478 and 37492