What is the Greatest Common Factor of 46380 and 46390?

Greatest common factor (GCF) of 46380 and 46390 is 10.

GCF(46380,46390) = 10

We will now calculate the prime factors of 46380 and 46390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46380 and 46390.

How to find the GCF of 46380 and 46390?

We will first find the prime factorization of 46380 and 46390. After we will calculate the factors of 46380 and 46390 and find the biggest common factor number .

Step-1: Prime Factorization of 46380

Prime factors of 46380 are 2, 3, 5, 773. Prime factorization of 46380 in exponential form is:

46380 = 2² × 3¹ × 5¹ × 773¹

Step-2: Prime Factorization of 46390

Prime factors of 46390 are 2, 5, 4639. Prime factorization of 46390 in exponential form is:

46390 = 2¹ × 5¹ × 4639¹

Step-3: Factors of 46380

List of positive integer factors of 46380 that divides 46380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 773, 1546, 2319, 3092, 3865, 4638, 7730, 9276, 11595, 15460, 23190

Step-4: Factors of 46390

List of positive integer factors of 46390 that divides 46380 without a remainder.

1, 2, 5, 10, 4639, 9278, 23195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46380 and 46390. The biggest common factor number is the GCF number.
So the greatest common factor 46380 and 46390 is 10.

Also check out the Least Common Multiple of 46380 and 46390