What is the Greatest Common Factor of 46123 and 46130?

Greatest common factor (GCF) of 46123 and 46130 is 7.

GCF(46123,46130) = 7

We will now calculate the prime factors of 46123 and 46130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46123 and 46130.

How to find the GCF of 46123 and 46130?

We will first find the prime factorization of 46123 and 46130. After we will calculate the factors of 46123 and 46130 and find the biggest common factor number .

Step-1: Prime Factorization of 46123

Prime factors of 46123 are 7, 11, 599. Prime factorization of 46123 in exponential form is:

46123 = 7¹ × 11¹ × 599¹

Step-2: Prime Factorization of 46130

Prime factors of 46130 are 2, 5, 7, 659. Prime factorization of 46130 in exponential form is:

46130 = 2¹ × 5¹ × 7¹ × 659¹

Step-3: Factors of 46123

List of positive integer factors of 46123 that divides 46123 without a remainder.

1, 7, 11, 77, 599, 4193, 6589

Step-4: Factors of 46130

List of positive integer factors of 46130 that divides 46123 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 659, 1318, 3295, 4613, 6590, 9226, 23065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46123 and 46130. The biggest common factor number is the GCF number.
So the greatest common factor 46123 and 46130 is 7.

Also check out the Least Common Multiple of 46123 and 46130