What is the Greatest Common Factor of 70112 and 70126?

Greatest common factor (GCF) of 70112 and 70126 is 14.

GCF(70112,70126) = 14

We will now calculate the prime factors of 70112 and 70126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70112 and 70126.

How to find the GCF of 70112 and 70126?

We will first find the prime factorization of 70112 and 70126. After we will calculate the factors of 70112 and 70126 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 70126

Prime factors of 70126 are 2, 7, 5009. Prime factorization of 70126 in exponential form is:

70126 = 2¹ × 7¹ × 5009¹

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 70126

List of positive integer factors of 70126 that divides 70112 without a remainder.

1, 2, 7, 14, 5009, 10018, 35063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70112 and 70126. The biggest common factor number is the GCF number.
So the greatest common factor 70112 and 70126 is 14.

Also check out the Least Common Multiple of 70112 and 70126