What is the Greatest Common Factor of 70106 and 70112?

Greatest common factor (GCF) of 70106 and 70112 is 2.

GCF(70106,70112) = 2

We will now calculate the prime factors of 70106 and 70112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70106 and 70112.

How to find the GCF of 70106 and 70112?

We will first find the prime factorization of 70106 and 70112. After we will calculate the factors of 70106 and 70112 and find the biggest common factor number .

Step-1: Prime Factorization of 70106

Prime factors of 70106 are 2, 35053. Prime factorization of 70106 in exponential form is:

70106 = 2¹ × 35053¹

Step-2: 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-3: Factors of 70106

List of positive integer factors of 70106 that divides 70106 without a remainder.

1, 2, 35053

Step-4: Factors of 70112

List of positive integer factors of 70112 that divides 70106 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70106 and 70112. The biggest common factor number is the GCF number.
So the greatest common factor 70106 and 70112 is 2.

Also check out the Least Common Multiple of 70106 and 70112