What is the Greatest Common Factor of 46374 and 46380?

Greatest common factor (GCF) of 46374 and 46380 is 6.

GCF(46374,46380) = 6

We will now calculate the prime factors of 46374 and 46380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46374 and 46380.

How to find the GCF of 46374 and 46380?

We will first find the prime factorization of 46374 and 46380. After we will calculate the factors of 46374 and 46380 and find the biggest common factor number .

Step-1: Prime Factorization of 46374

Prime factors of 46374 are 2, 3, 59, 131. Prime factorization of 46374 in exponential form is:

46374 = 2¹ × 3¹ × 59¹ × 131¹

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 46374

List of positive integer factors of 46374 that divides 46374 without a remainder.

1, 2, 3, 6, 59, 118, 131, 177, 262, 354, 393, 786, 7729, 15458, 23187

Step-4: Factors of 46380

List of positive integer factors of 46380 that divides 46374 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 46374 and 46380. The biggest common factor number is the GCF number.
So the greatest common factor 46374 and 46380 is 6.

Also check out the Least Common Multiple of 46374 and 46380