What is the Greatest Common Factor of 46120 and 46138?

Greatest common factor (GCF) of 46120 and 46138 is 2.

GCF(46120,46138) = 2

We will now calculate the prime factors of 46120 and 46138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46120 and 46138.

How to find the GCF of 46120 and 46138?

We will first find the prime factorization of 46120 and 46138. After we will calculate the factors of 46120 and 46138 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 46138

Prime factors of 46138 are 2, 17, 23, 59. Prime factorization of 46138 in exponential form is:

46138 = 2¹ × 17¹ × 23¹ × 59¹

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 46138

List of positive integer factors of 46138 that divides 46120 without a remainder.

1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46120 and 46138. The biggest common factor number is the GCF number.
So the greatest common factor 46120 and 46138 is 2.

Also check out the Least Common Multiple of 46120 and 46138