What is the Greatest Common Factor of 46362 and 46380?

Greatest common factor (GCF) of 46362 and 46380 is 6.

GCF(46362,46380) = 6

We will now calculate the prime factors of 46362 and 46380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46362 and 46380.

How to find the GCF of 46362 and 46380?

We will first find the prime factorization of 46362 and 46380. After we will calculate the factors of 46362 and 46380 and find the biggest common factor number .

Step-1: Prime Factorization of 46362

Prime factors of 46362 are 2, 3, 7727. Prime factorization of 46362 in exponential form is:

46362 = 2¹ × 3¹ × 7727¹

Step-2: 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-3: Factors of 46362

List of positive integer factors of 46362 that divides 46362 without a remainder.

1, 2, 3, 6, 7727, 15454, 23181

Step-4: Factors of 46380

List of positive integer factors of 46380 that divides 46362 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46362 and 46380. The biggest common factor number is the GCF number.
So the greatest common factor 46362 and 46380 is 6.

Also check out the Least Common Multiple of 46362 and 46380