What is the Greatest Common Factor of 70298 and 70312?

Greatest common factor (GCF) of 70298 and 70312 is 2.

GCF(70298,70312) = 2

We will now calculate the prime factors of 70298 and 70312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70298 and 70312.

How to find the GCF of 70298 and 70312?

We will first find the prime factorization of 70298 and 70312. After we will calculate the factors of 70298 and 70312 and find the biggest common factor number .

Step-1: Prime Factorization of 70298

Prime factors of 70298 are 2, 35149. Prime factorization of 70298 in exponential form is:

70298 = 2¹ × 35149¹

Step-2: Prime Factorization of 70312

Prime factors of 70312 are 2, 11, 17, 47. Prime factorization of 70312 in exponential form is:

70312 = 2³ × 11¹ × 17¹ × 47¹

Step-3: Factors of 70298

List of positive integer factors of 70298 that divides 70298 without a remainder.

1, 2, 35149

Step-4: Factors of 70312

List of positive integer factors of 70312 that divides 70298 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 47, 68, 88, 94, 136, 187, 188, 374, 376, 517, 748, 799, 1034, 1496, 1598, 2068, 3196, 4136, 6392, 8789, 17578, 35156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70298 and 70312. The biggest common factor number is the GCF number.
So the greatest common factor 70298 and 70312 is 2.

Also check out the Least Common Multiple of 70298 and 70312