What is the Greatest Common Factor of 46414 and 46420?

Greatest common factor (GCF) of 46414 and 46420 is 2.

GCF(46414,46420) = 2

We will now calculate the prime factors of 46414 and 46420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46414 and 46420.

How to find the GCF of 46414 and 46420?

We will first find the prime factorization of 46414 and 46420. After we will calculate the factors of 46414 and 46420 and find the biggest common factor number .

Step-1: Prime Factorization of 46414

Prime factors of 46414 are 2, 23, 1009. Prime factorization of 46414 in exponential form is:

46414 = 2¹ × 23¹ × 1009¹

Step-2: Prime Factorization of 46420

Prime factors of 46420 are 2, 5, 11, 211. Prime factorization of 46420 in exponential form is:

46420 = 2² × 5¹ × 11¹ × 211¹

Step-3: Factors of 46414

List of positive integer factors of 46414 that divides 46414 without a remainder.

1, 2, 23, 46, 1009, 2018, 23207

Step-4: Factors of 46420

List of positive integer factors of 46420 that divides 46414 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 211, 220, 422, 844, 1055, 2110, 2321, 4220, 4642, 9284, 11605, 23210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46414 and 46420. The biggest common factor number is the GCF number.
So the greatest common factor 46414 and 46420 is 2.

Also check out the Least Common Multiple of 46414 and 46420