What is the Greatest Common Factor of 70112 and 70118?

Greatest common factor (GCF) of 70112 and 70118 is 2.

GCF(70112,70118) = 2

We will now calculate the prime factors of 70112 and 70118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70112 and 70118.

How to find the GCF of 70112 and 70118?

We will first find the prime factorization of 70112 and 70118. After we will calculate the factors of 70112 and 70118 and find the biggest common factor number .

Step-1: Prime Factorization of 70112

Prime factors of 70112 are 2, 7, 313. Prime factorization of 70112 in exponential form is:

70112 = 2⁵ × 7¹ × 313¹

Step-2: Prime Factorization of 70118

Prime factors of 70118 are 2, 35059. Prime factorization of 70118 in exponential form is:

70118 = 2¹ × 35059¹

Step-3: Factors of 70112

List of positive integer factors of 70112 that divides 70112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 313, 626, 1252, 2191, 2504, 4382, 5008, 8764, 10016, 17528, 35056

Step-4: Factors of 70118

List of positive integer factors of 70118 that divides 70112 without a remainder.

1, 2, 35059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70112 and 70118. The biggest common factor number is the GCF number.
So the greatest common factor 70112 and 70118 is 2.

Also check out the Least Common Multiple of 70112 and 70118