What is the Greatest Common Factor of 46138 and 46150?

Greatest common factor (GCF) of 46138 and 46150 is 2.

GCF(46138,46150) = 2

We will now calculate the prime factors of 46138 and 46150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46138 and 46150.

How to find the GCF of 46138 and 46150?

We will first find the prime factorization of 46138 and 46150. After we will calculate the factors of 46138 and 46150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46150

Prime factors of 46150 are 2, 5, 13, 71. Prime factorization of 46150 in exponential form is:

46150 = 2¹ × 5² × 13¹ × 71¹

Step-3: Factors of 46138

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

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

Step-4: Factors of 46150

List of positive integer factors of 46150 that divides 46138 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 71, 130, 142, 325, 355, 650, 710, 923, 1775, 1846, 3550, 4615, 9230, 23075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46138 and 46150. The biggest common factor number is the GCF number.
So the greatest common factor 46138 and 46150 is 2.

Also check out the Least Common Multiple of 46138 and 46150