What is the Greatest Common Factor of 70262 and 70281?

Greatest common factor (GCF) of 70262 and 70281 is 19.

GCF(70262,70281) = 19

We will now calculate the prime factors of 70262 and 70281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70262 and 70281.

How to find the GCF of 70262 and 70281?

We will first find the prime factorization of 70262 and 70281. After we will calculate the factors of 70262 and 70281 and find the biggest common factor number .

Step-1: Prime Factorization of 70262

Prime factors of 70262 are 2, 19, 43. Prime factorization of 70262 in exponential form is:

70262 = 2¹ × 19¹ × 43²

Step-2: Prime Factorization of 70281

Prime factors of 70281 are 3, 19, 137. Prime factorization of 70281 in exponential form is:

70281 = 3³ × 19¹ × 137¹

Step-3: Factors of 70262

List of positive integer factors of 70262 that divides 70262 without a remainder.

1, 2, 19, 38, 43, 86, 817, 1634, 1849, 3698, 35131

Step-4: Factors of 70281

List of positive integer factors of 70281 that divides 70262 without a remainder.

1, 3, 9, 19, 27, 57, 137, 171, 411, 513, 1233, 2603, 3699, 7809, 23427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70262 and 70281. The biggest common factor number is the GCF number.
So the greatest common factor 70262 and 70281 is 19.

Also check out the Least Common Multiple of 70262 and 70281