What is the Greatest Common Factor of 19829 and 19840?

Greatest common factor (GCF) of 19829 and 19840 is 1.

GCF(19829,19840) = 1

We will now calculate the prime factors of 19829 and 19840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19829 and 19840.

How to find the GCF of 19829 and 19840?

We will first find the prime factorization of 19829 and 19840. After we will calculate the factors of 19829 and 19840 and find the biggest common factor number .

Step-1: Prime Factorization of 19829

Prime factors of 19829 are 79, 251. Prime factorization of 19829 in exponential form is:

19829 = 79¹ × 251¹

Step-2: Prime Factorization of 19840

Prime factors of 19840 are 2, 5, 31. Prime factorization of 19840 in exponential form is:

19840 = 2⁷ × 5¹ × 31¹

Step-3: Factors of 19829

List of positive integer factors of 19829 that divides 19829 without a remainder.

1, 79, 251

Step-4: Factors of 19840

List of positive integer factors of 19840 that divides 19829 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 310, 320, 496, 620, 640, 992, 1240, 1984, 2480, 3968, 4960, 9920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19829 and 19840. The biggest common factor number is the GCF number.
So the greatest common factor 19829 and 19840 is 1.

Also check out the Least Common Multiple of 19829 and 19840