What is the Greatest Common Factor of 70902 and 70920?

Greatest common factor (GCF) of 70902 and 70920 is 18.

GCF(70902,70920) = 18

We will now calculate the prime factors of 70902 and 70920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70902 and 70920.

How to find the GCF of 70902 and 70920?

We will first find the prime factorization of 70902 and 70920. After we will calculate the factors of 70902 and 70920 and find the biggest common factor number .

Step-1: Prime Factorization of 70902

Prime factors of 70902 are 2, 3, 13, 101. Prime factorization of 70902 in exponential form is:

70902 = 2¹ × 3³ × 13¹ × 101¹

Step-2: Prime Factorization of 70920

Prime factors of 70920 are 2, 3, 5, 197. Prime factorization of 70920 in exponential form is:

70920 = 2³ × 3² × 5¹ × 197¹

Step-3: Factors of 70902

List of positive integer factors of 70902 that divides 70902 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 101, 117, 202, 234, 303, 351, 606, 702, 909, 1313, 1818, 2626, 2727, 3939, 5454, 7878, 11817, 23634, 35451

Step-4: Factors of 70920

List of positive integer factors of 70920 that divides 70902 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 197, 360, 394, 591, 788, 985, 1182, 1576, 1773, 1970, 2364, 2955, 3546, 3940, 4728, 5910, 7092, 7880, 8865, 11820, 14184, 17730, 23640, 35460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70902 and 70920. The biggest common factor number is the GCF number.
So the greatest common factor 70902 and 70920 is 18.

Also check out the Least Common Multiple of 70902 and 70920