What is the Greatest Common Factor of 70102 and 70112?

Greatest common factor (GCF) of 70102 and 70112 is 2.

GCF(70102,70112) = 2

We will now calculate the prime factors of 70102 and 70112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70102 and 70112.

How to find the GCF of 70102 and 70112?

We will first find the prime factorization of 70102 and 70112. After we will calculate the factors of 70102 and 70112 and find the biggest common factor number .

Step-1: Prime Factorization of 70102

Prime factors of 70102 are 2, 35051. Prime factorization of 70102 in exponential form is:

70102 = 2¹ × 35051¹

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 70102

List of positive integer factors of 70102 that divides 70102 without a remainder.

1, 2, 35051

Step-4: Factors of 70112

List of positive integer factors of 70112 that divides 70102 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 70102 and 70112. The biggest common factor number is the GCF number.
So the greatest common factor 70102 and 70112 is 2.

Also check out the Least Common Multiple of 70102 and 70112