What is the Greatest Common Factor of 68452 and 68470?

Greatest common factor (GCF) of 68452 and 68470 is 2.

GCF(68452,68470) = 2

We will now calculate the prime factors of 68452 and 68470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68452 and 68470.

How to find the GCF of 68452 and 68470?

We will first find the prime factorization of 68452 and 68470. After we will calculate the factors of 68452 and 68470 and find the biggest common factor number .

Step-1: Prime Factorization of 68452

Prime factors of 68452 are 2, 109, 157. Prime factorization of 68452 in exponential form is:

68452 = 2² × 109¹ × 157¹

Step-2: Prime Factorization of 68470

Prime factors of 68470 are 2, 5, 41, 167. Prime factorization of 68470 in exponential form is:

68470 = 2¹ × 5¹ × 41¹ × 167¹

Step-3: Factors of 68452

List of positive integer factors of 68452 that divides 68452 without a remainder.

1, 2, 4, 109, 157, 218, 314, 436, 628, 17113, 34226

Step-4: Factors of 68470

List of positive integer factors of 68470 that divides 68452 without a remainder.

1, 2, 5, 10, 41, 82, 167, 205, 334, 410, 835, 1670, 6847, 13694, 34235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68452 and 68470. The biggest common factor number is the GCF number.
So the greatest common factor 68452 and 68470 is 2.

Also check out the Least Common Multiple of 68452 and 68470