What is the Greatest Common Factor of 70414 and 70428?

Greatest common factor (GCF) of 70414 and 70428 is 2.

GCF(70414,70428) = 2

We will now calculate the prime factors of 70414 and 70428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70414 and 70428.

How to find the GCF of 70414 and 70428?

We will first find the prime factorization of 70414 and 70428. After we will calculate the factors of 70414 and 70428 and find the biggest common factor number .

Step-1: Prime Factorization of 70414

Prime factors of 70414 are 2, 17, 19, 109. Prime factorization of 70414 in exponential form is:

70414 = 2¹ × 17¹ × 19¹ × 109¹

Step-2: Prime Factorization of 70428

Prime factors of 70428 are 2, 3, 5869. Prime factorization of 70428 in exponential form is:

70428 = 2² × 3¹ × 5869¹

Step-3: Factors of 70414

List of positive integer factors of 70414 that divides 70414 without a remainder.

1, 2, 17, 19, 34, 38, 109, 218, 323, 646, 1853, 2071, 3706, 4142, 35207

Step-4: Factors of 70428

List of positive integer factors of 70428 that divides 70414 without a remainder.

1, 2, 3, 4, 6, 12, 5869, 11738, 17607, 23476, 35214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70414 and 70428. The biggest common factor number is the GCF number.
So the greatest common factor 70414 and 70428 is 2.

Also check out the Least Common Multiple of 70414 and 70428