What is the Greatest Common Factor of 46278 and 46282?

Greatest common factor (GCF) of 46278 and 46282 is 2.

GCF(46278,46282) = 2

We will now calculate the prime factors of 46278 and 46282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46278 and 46282.

How to find the GCF of 46278 and 46282?

We will first find the prime factorization of 46278 and 46282. After we will calculate the factors of 46278 and 46282 and find the biggest common factor number .

Step-1: Prime Factorization of 46278

Prime factors of 46278 are 2, 3, 857. Prime factorization of 46278 in exponential form is:

46278 = 2¹ × 3³ × 857¹

Step-2: Prime Factorization of 46282

Prime factors of 46282 are 2, 73, 317. Prime factorization of 46282 in exponential form is:

46282 = 2¹ × 73¹ × 317¹

Step-3: Factors of 46278

List of positive integer factors of 46278 that divides 46278 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 857, 1714, 2571, 5142, 7713, 15426, 23139

Step-4: Factors of 46282

List of positive integer factors of 46282 that divides 46278 without a remainder.

1, 2, 73, 146, 317, 634, 23141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46278 and 46282. The biggest common factor number is the GCF number.
So the greatest common factor 46278 and 46282 is 2.

Also check out the Least Common Multiple of 46278 and 46282