What is the Greatest Common Factor of 35720 and 35729?

Greatest common factor (GCF) of 35720 and 35729 is 1.

GCF(35720,35729) = 1

We will now calculate the prime factors of 35720 and 35729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35720 and 35729.

How to find the GCF of 35720 and 35729?

We will first find the prime factorization of 35720 and 35729. After we will calculate the factors of 35720 and 35729 and find the biggest common factor number .

Step-1: Prime Factorization of 35720

Prime factors of 35720 are 2, 5, 19, 47. Prime factorization of 35720 in exponential form is:

35720 = 2³ × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 35729

Prime factors of 35729 are 35729. Prime factorization of 35729 in exponential form is:

35729 = 35729¹

Step-3: Factors of 35720

List of positive integer factors of 35720 that divides 35720 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 47, 76, 94, 95, 152, 188, 190, 235, 376, 380, 470, 760, 893, 940, 1786, 1880, 3572, 4465, 7144, 8930, 17860

Step-4: Factors of 35729

List of positive integer factors of 35729 that divides 35720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35720 and 35729. The biggest common factor number is the GCF number.
So the greatest common factor 35720 and 35729 is 1.

Also check out the Least Common Multiple of 35720 and 35729