What is the Greatest Common Factor of 46120 and 46126?

Greatest common factor (GCF) of 46120 and 46126 is 2.

GCF(46120,46126) = 2

We will now calculate the prime factors of 46120 and 46126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46120 and 46126.

How to find the GCF of 46120 and 46126?

We will first find the prime factorization of 46120 and 46126. After we will calculate the factors of 46120 and 46126 and find the biggest common factor number .

Step-1: Prime Factorization of 46120

Prime factors of 46120 are 2, 5, 1153. Prime factorization of 46120 in exponential form is:

46120 = 2³ × 5¹ × 1153¹

Step-2: Prime Factorization of 46126

Prime factors of 46126 are 2, 23063. Prime factorization of 46126 in exponential form is:

46126 = 2¹ × 23063¹

Step-3: Factors of 46120

List of positive integer factors of 46120 that divides 46120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1153, 2306, 4612, 5765, 9224, 11530, 23060

Step-4: Factors of 46126

List of positive integer factors of 46126 that divides 46120 without a remainder.

1, 2, 23063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46120 and 46126. The biggest common factor number is the GCF number.
So the greatest common factor 46120 and 46126 is 2.

Also check out the Least Common Multiple of 46120 and 46126