What is the Greatest Common Factor of 35473 and 35480?

Greatest common factor (GCF) of 35473 and 35480 is 1.

GCF(35473,35480) = 1

We will now calculate the prime factors of 35473 and 35480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35473 and 35480.

How to find the GCF of 35473 and 35480?

We will first find the prime factorization of 35473 and 35480. After we will calculate the factors of 35473 and 35480 and find the biggest common factor number .

Step-1: Prime Factorization of 35473

Prime factors of 35473 are 19, 1867. Prime factorization of 35473 in exponential form is:

35473 = 19¹ × 1867¹

Step-2: Prime Factorization of 35480

Prime factors of 35480 are 2, 5, 887. Prime factorization of 35480 in exponential form is:

35480 = 2³ × 5¹ × 887¹

Step-3: Factors of 35473

List of positive integer factors of 35473 that divides 35473 without a remainder.

1, 19, 1867

Step-4: Factors of 35480

List of positive integer factors of 35480 that divides 35473 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 887, 1774, 3548, 4435, 7096, 8870, 17740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35473 and 35480. The biggest common factor number is the GCF number.
So the greatest common factor 35473 and 35480 is 1.

Also check out the Least Common Multiple of 35473 and 35480