What is the Greatest Common Factor of 35470 and 35480?

Greatest common factor (GCF) of 35470 and 35480 is 10.

GCF(35470,35480) = 10

We will now calculate the prime factors of 35470 and 35480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35470 and 35480.

How to find the GCF of 35470 and 35480?

We will first find the prime factorization of 35470 and 35480. After we will calculate the factors of 35470 and 35480 and find the biggest common factor number .

Step-1: Prime Factorization of 35470

Prime factors of 35470 are 2, 5, 3547. Prime factorization of 35470 in exponential form is:

35470 = 2¹ × 5¹ × 3547¹

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 35470

List of positive integer factors of 35470 that divides 35470 without a remainder.

1, 2, 5, 10, 3547, 7094, 17735

Step-4: Factors of 35480

List of positive integer factors of 35480 that divides 35470 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 35470 and 35480. The biggest common factor number is the GCF number.
So the greatest common factor 35470 and 35480 is 10.

Also check out the Least Common Multiple of 35470 and 35480