What is the Greatest Common Factor of 35410 and 35430?

Greatest common factor (GCF) of 35410 and 35430 is 10.

GCF(35410,35430) = 10

We will now calculate the prime factors of 35410 and 35430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35410 and 35430.

How to find the GCF of 35410 and 35430?

We will first find the prime factorization of 35410 and 35430. After we will calculate the factors of 35410 and 35430 and find the biggest common factor number .

Step-1: Prime Factorization of 35410

Prime factors of 35410 are 2, 5, 3541. Prime factorization of 35410 in exponential form is:

35410 = 2¹ × 5¹ × 3541¹

Step-2: Prime Factorization of 35430

Prime factors of 35430 are 2, 3, 5, 1181. Prime factorization of 35430 in exponential form is:

35430 = 2¹ × 3¹ × 5¹ × 1181¹

Step-3: Factors of 35410

List of positive integer factors of 35410 that divides 35410 without a remainder.

1, 2, 5, 10, 3541, 7082, 17705

Step-4: Factors of 35430

List of positive integer factors of 35430 that divides 35410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1181, 2362, 3543, 5905, 7086, 11810, 17715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35410 and 35430. The biggest common factor number is the GCF number.
So the greatest common factor 35410 and 35430 is 10.

Also check out the Least Common Multiple of 35410 and 35430