What is the Greatest Common Factor of 37829 and 37840?

Greatest common factor (GCF) of 37829 and 37840 is 11.

GCF(37829,37840) = 11

We will now calculate the prime factors of 37829 and 37840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37829 and 37840.

How to find the GCF of 37829 and 37840?

We will first find the prime factorization of 37829 and 37840. After we will calculate the factors of 37829 and 37840 and find the biggest common factor number .

Step-1: Prime Factorization of 37829

Prime factors of 37829 are 11, 19, 181. Prime factorization of 37829 in exponential form is:

37829 = 11¹ × 19¹ × 181¹

Step-2: Prime Factorization of 37840

Prime factors of 37840 are 2, 5, 11, 43. Prime factorization of 37840 in exponential form is:

37840 = 2⁴ × 5¹ × 11¹ × 43¹

Step-3: Factors of 37829

List of positive integer factors of 37829 that divides 37829 without a remainder.

1, 11, 19, 181, 209, 1991, 3439

Step-4: Factors of 37840

List of positive integer factors of 37840 that divides 37829 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 43, 44, 55, 80, 86, 88, 110, 172, 176, 215, 220, 344, 430, 440, 473, 688, 860, 880, 946, 1720, 1892, 2365, 3440, 3784, 4730, 7568, 9460, 18920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37829 and 37840. The biggest common factor number is the GCF number.
So the greatest common factor 37829 and 37840 is 11.

Also check out the Least Common Multiple of 37829 and 37840