What is the Greatest Common Factor of 70105 and 70120?

Greatest common factor (GCF) of 70105 and 70120 is 5.

GCF(70105,70120) = 5

We will now calculate the prime factors of 70105 and 70120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70105 and 70120.

How to find the GCF of 70105 and 70120?

We will first find the prime factorization of 70105 and 70120. After we will calculate the factors of 70105 and 70120 and find the biggest common factor number .

Step-1: Prime Factorization of 70105

Prime factors of 70105 are 5, 7, 2003. Prime factorization of 70105 in exponential form is:

70105 = 5¹ × 7¹ × 2003¹

Step-2: Prime Factorization of 70120

Prime factors of 70120 are 2, 5, 1753. Prime factorization of 70120 in exponential form is:

70120 = 2³ × 5¹ × 1753¹

Step-3: Factors of 70105

List of positive integer factors of 70105 that divides 70105 without a remainder.

1, 5, 7, 35, 2003, 10015, 14021

Step-4: Factors of 70120

List of positive integer factors of 70120 that divides 70105 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1753, 3506, 7012, 8765, 14024, 17530, 35060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70105 and 70120. The biggest common factor number is the GCF number.
So the greatest common factor 70105 and 70120 is 5.

Also check out the Least Common Multiple of 70105 and 70120