What is the Greatest Common Factor of 70630 and 70644?

Greatest common factor (GCF) of 70630 and 70644 is 14.

GCF(70630,70644) = 14

We will now calculate the prime factors of 70630 and 70644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70630 and 70644.

How to find the GCF of 70630 and 70644?

We will first find the prime factorization of 70630 and 70644. After we will calculate the factors of 70630 and 70644 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 70644

Prime factors of 70644 are 2, 3, 7, 29. Prime factorization of 70644 in exponential form is:

70644 = 2² × 3¹ × 7¹ × 29²

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 70644

List of positive integer factors of 70644 that divides 70630 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 841, 1218, 1682, 2436, 2523, 3364, 5046, 5887, 10092, 11774, 17661, 23548, 35322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70630 and 70644. The biggest common factor number is the GCF number.
So the greatest common factor 70630 and 70644 is 14.

Also check out the Least Common Multiple of 70630 and 70644