What is the Greatest Common Factor of 70630 and 70642?

Greatest common factor (GCF) of 70630 and 70642 is 2.

GCF(70630,70642) = 2

We will now calculate the prime factors of 70630 and 70642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70630 and 70642.

How to find the GCF of 70630 and 70642?

We will first find the prime factorization of 70630 and 70642. After we will calculate the factors of 70630 and 70642 and find the biggest common factor number .

Step-1: Prime Factorization of 70630

Prime factors of 70630 are 2, 5, 7, 1009. Prime factorization of 70630 in exponential form is:

70630 = 2¹ × 5¹ × 7¹ × 1009¹

Step-2: Prime Factorization of 70642

Prime factors of 70642 are 2, 11, 13, 19. Prime factorization of 70642 in exponential form is:

70642 = 2¹ × 11¹ × 13² × 19¹

Step-3: Factors of 70630

List of positive integer factors of 70630 that divides 70630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1009, 2018, 5045, 7063, 10090, 14126, 35315

Step-4: Factors of 70642

List of positive integer factors of 70642 that divides 70630 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 169, 209, 247, 286, 338, 418, 494, 1859, 2717, 3211, 3718, 5434, 6422, 35321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70630 and 70642. The biggest common factor number is the GCF number.
So the greatest common factor 70630 and 70642 is 2.

Also check out the Least Common Multiple of 70630 and 70642