What is the Greatest Common Factor of 35701 and 35720?

Greatest common factor (GCF) of 35701 and 35720 is 19.

GCF(35701,35720) = 19

We will now calculate the prime factors of 35701 and 35720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35701 and 35720.

How to find the GCF of 35701 and 35720?

We will first find the prime factorization of 35701 and 35720. After we will calculate the factors of 35701 and 35720 and find the biggest common factor number .

Step-1: Prime Factorization of 35701

Prime factors of 35701 are 19, 1879. Prime factorization of 35701 in exponential form is:

35701 = 19¹ × 1879¹

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 35701

List of positive integer factors of 35701 that divides 35701 without a remainder.

1, 19, 1879

Step-4: Factors of 35720

List of positive integer factors of 35720 that divides 35701 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 35701 and 35720. The biggest common factor number is the GCF number.
So the greatest common factor 35701 and 35720 is 19.

Also check out the Least Common Multiple of 35701 and 35720