What is the Greatest Common Factor of 46360 and 46370?

Greatest common factor (GCF) of 46360 and 46370 is 10.

GCF(46360,46370) = 10

We will now calculate the prime factors of 46360 and 46370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46360 and 46370.

How to find the GCF of 46360 and 46370?

We will first find the prime factorization of 46360 and 46370. After we will calculate the factors of 46360 and 46370 and find the biggest common factor number .

Step-1: Prime Factorization of 46360

Prime factors of 46360 are 2, 5, 19, 61. Prime factorization of 46360 in exponential form is:

46360 = 2³ × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 46370

Prime factors of 46370 are 2, 5, 4637. Prime factorization of 46370 in exponential form is:

46370 = 2¹ × 5¹ × 4637¹

Step-3: Factors of 46360

List of positive integer factors of 46360 that divides 46360 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 61, 76, 95, 122, 152, 190, 244, 305, 380, 488, 610, 760, 1159, 1220, 2318, 2440, 4636, 5795, 9272, 11590, 23180

Step-4: Factors of 46370

List of positive integer factors of 46370 that divides 46360 without a remainder.

1, 2, 5, 10, 4637, 9274, 23185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46360 and 46370. The biggest common factor number is the GCF number.
So the greatest common factor 46360 and 46370 is 10.

Also check out the Least Common Multiple of 46360 and 46370