What is the Greatest Common Factor of 46355 and 46374?

Greatest common factor (GCF) of 46355 and 46374 is 1.

GCF(46355,46374) = 1

We will now calculate the prime factors of 46355 and 46374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46355 and 46374.

How to find the GCF of 46355 and 46374?

We will first find the prime factorization of 46355 and 46374. After we will calculate the factors of 46355 and 46374 and find the biggest common factor number .

Step-1: Prime Factorization of 46355

Prime factors of 46355 are 5, 73, 127. Prime factorization of 46355 in exponential form is:

46355 = 5¹ × 73¹ × 127¹

Step-2: 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-3: Factors of 46355

List of positive integer factors of 46355 that divides 46355 without a remainder.

1, 5, 73, 127, 365, 635, 9271

Step-4: Factors of 46374

List of positive integer factors of 46374 that divides 46355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46355 and 46374. The biggest common factor number is the GCF number.
So the greatest common factor 46355 and 46374 is 1.

Also check out the Least Common Multiple of 46355 and 46374