What is the Greatest Common Factor of 70098 and 70112?

Greatest common factor (GCF) of 70098 and 70112 is 14.

GCF(70098,70112) = 14

We will now calculate the prime factors of 70098 and 70112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70098 and 70112.

How to find the GCF of 70098 and 70112?

We will first find the prime factorization of 70098 and 70112. After we will calculate the factors of 70098 and 70112 and find the biggest common factor number .

Step-1: Prime Factorization of 70098

Prime factors of 70098 are 2, 3, 7, 1669. Prime factorization of 70098 in exponential form is:

70098 = 2¹ × 3¹ × 7¹ × 1669¹

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 70098

List of positive integer factors of 70098 that divides 70098 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1669, 3338, 5007, 10014, 11683, 23366, 35049

Step-4: Factors of 70112

List of positive integer factors of 70112 that divides 70098 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 70098 and 70112. The biggest common factor number is the GCF number.
So the greatest common factor 70098 and 70112 is 14.

Also check out the Least Common Multiple of 70098 and 70112