What is the Greatest Common Factor of 3430 and 3450?

Greatest common factor (GCF) of 3430 and 3450 is 10.

GCF(3430,3450) = 10

We will now calculate the prime factors of 3430 and 3450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3430 and 3450.

How to find the GCF of 3430 and 3450?

We will first find the prime factorization of 3430 and 3450. After we will calculate the factors of 3430 and 3450 and find the biggest common factor number .

Step-1: Prime Factorization of 3430

Prime factors of 3430 are 2, 5, 7. Prime factorization of 3430 in exponential form is:

3430 = 2¹ × 5¹ × 7³

Step-2: Prime Factorization of 3450

Prime factors of 3450 are 2, 3, 5, 23. Prime factorization of 3450 in exponential form is:

3450 = 2¹ × 3¹ × 5² × 23¹

Step-3: Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715

Step-4: Factors of 3450

List of positive integer factors of 3450 that divides 3430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3430 and 3450. The biggest common factor number is the GCF number.
So the greatest common factor 3430 and 3450 is 10.

Also check out the Least Common Multiple of 3430 and 3450