What is the Greatest Common Factor of 35704 and 35720?

Greatest common factor (GCF) of 35704 and 35720 is 8.

GCF(35704,35720) = 8

We will now calculate the prime factors of 35704 and 35720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35704 and 35720.

How to find the GCF of 35704 and 35720?

We will first find the prime factorization of 35704 and 35720. After we will calculate the factors of 35704 and 35720 and find the biggest common factor number .

Step-1: Prime Factorization of 35704

Prime factors of 35704 are 2, 4463. Prime factorization of 35704 in exponential form is:

35704 = 2³ × 4463¹

Step-2: 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-3: Factors of 35704

List of positive integer factors of 35704 that divides 35704 without a remainder.

1, 2, 4, 8, 4463, 8926, 17852

Step-4: Factors of 35720

List of positive integer factors of 35720 that divides 35704 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35704 and 35720. The biggest common factor number is the GCF number.
So the greatest common factor 35704 and 35720 is 8.

Also check out the Least Common Multiple of 35704 and 35720