What is the Greatest Common Factor of 70205 and 70220?

Greatest common factor (GCF) of 70205 and 70220 is 5.

GCF(70205,70220) = 5

We will now calculate the prime factors of 70205 and 70220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70205 and 70220.

How to find the GCF of 70205 and 70220?

We will first find the prime factorization of 70205 and 70220. After we will calculate the factors of 70205 and 70220 and find the biggest common factor number .

Step-1: Prime Factorization of 70205

Prime factors of 70205 are 5, 19, 739. Prime factorization of 70205 in exponential form is:

70205 = 5¹ × 19¹ × 739¹

Step-2: Prime Factorization of 70220

Prime factors of 70220 are 2, 5, 3511. Prime factorization of 70220 in exponential form is:

70220 = 2² × 5¹ × 3511¹

Step-3: Factors of 70205

List of positive integer factors of 70205 that divides 70205 without a remainder.

1, 5, 19, 95, 739, 3695, 14041

Step-4: Factors of 70220

List of positive integer factors of 70220 that divides 70205 without a remainder.

1, 2, 4, 5, 10, 20, 3511, 7022, 14044, 17555, 35110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70205 and 70220. The biggest common factor number is the GCF number.
So the greatest common factor 70205 and 70220 is 5.

Also check out the Least Common Multiple of 70205 and 70220