What is the Greatest Common Factor of 37037 and 37048?

Greatest common factor (GCF) of 37037 and 37048 is 11.

GCF(37037,37048) = 11

We will now calculate the prime factors of 37037 and 37048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37037 and 37048.

How to find the GCF of 37037 and 37048?

We will first find the prime factorization of 37037 and 37048. After we will calculate the factors of 37037 and 37048 and find the biggest common factor number .

Step-1: Prime Factorization of 37037

Prime factors of 37037 are 7, 11, 13, 37. Prime factorization of 37037 in exponential form is:

37037 = 7¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 37048

Prime factors of 37048 are 2, 11, 421. Prime factorization of 37048 in exponential form is:

37048 = 2³ × 11¹ × 421¹

Step-3: Factors of 37037

List of positive integer factors of 37037 that divides 37037 without a remainder.

1, 7, 11, 13, 37, 77, 91, 143, 259, 407, 481, 1001, 2849, 3367, 5291

Step-4: Factors of 37048

List of positive integer factors of 37048 that divides 37037 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 421, 842, 1684, 3368, 4631, 9262, 18524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37037 and 37048. The biggest common factor number is the GCF number.
So the greatest common factor 37037 and 37048 is 11.

Also check out the Least Common Multiple of 37037 and 37048