What is the Greatest Common Factor of 37492 and 37499?

Greatest common factor (GCF) of 37492 and 37499 is 7.

GCF(37492,37499) = 7

We will now calculate the prime factors of 37492 and 37499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37492 and 37499.

How to find the GCF of 37492 and 37499?

We will first find the prime factorization of 37492 and 37499. After we will calculate the factors of 37492 and 37499 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37499

Prime factors of 37499 are 7, 11, 487. Prime factorization of 37499 in exponential form is:

37499 = 7¹ × 11¹ × 487¹

Step-3: Factors of 37492

List of positive integer factors of 37492 that divides 37492 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

Step-4: Factors of 37499

List of positive integer factors of 37499 that divides 37492 without a remainder.

1, 7, 11, 77, 487, 3409, 5357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37492 and 37499. The biggest common factor number is the GCF number.
So the greatest common factor 37492 and 37499 is 7.

Also check out the Least Common Multiple of 37492 and 37499