What is the Greatest Common Factor of 46150 and 46164?

Greatest common factor (GCF) of 46150 and 46164 is 2.

GCF(46150,46164) = 2

We will now calculate the prime factors of 46150 and 46164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46150 and 46164.

How to find the GCF of 46150 and 46164?

We will first find the prime factorization of 46150 and 46164. After we will calculate the factors of 46150 and 46164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46164

Prime factors of 46164 are 2, 3, 3847. Prime factorization of 46164 in exponential form is:

46164 = 2² × 3¹ × 3847¹

Step-3: Factors of 46150

List of positive integer factors of 46150 that divides 46150 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

Step-4: Factors of 46164

List of positive integer factors of 46164 that divides 46150 without a remainder.

1, 2, 3, 4, 6, 12, 3847, 7694, 11541, 15388, 23082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46150 and 46164. The biggest common factor number is the GCF number.
So the greatest common factor 46150 and 46164 is 2.

Also check out the Least Common Multiple of 46150 and 46164