What is the Greatest Common Factor of 46476 and 46495?

Greatest common factor (GCF) of 46476 and 46495 is 1.

GCF(46476,46495) = 1

We will now calculate the prime factors of 46476 and 46495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46476 and 46495.

How to find the GCF of 46476 and 46495?

We will first find the prime factorization of 46476 and 46495. After we will calculate the factors of 46476 and 46495 and find the biggest common factor number .

Step-1: Prime Factorization of 46476

Prime factors of 46476 are 2, 3, 1291. Prime factorization of 46476 in exponential form is:

46476 = 2² × 3² × 1291¹

Step-2: Prime Factorization of 46495

Prime factors of 46495 are 5, 17, 547. Prime factorization of 46495 in exponential form is:

46495 = 5¹ × 17¹ × 547¹

Step-3: Factors of 46476

List of positive integer factors of 46476 that divides 46476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1291, 2582, 3873, 5164, 7746, 11619, 15492, 23238

Step-4: Factors of 46495

List of positive integer factors of 46495 that divides 46476 without a remainder.

1, 5, 17, 85, 547, 2735, 9299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46476 and 46495. The biggest common factor number is the GCF number.
So the greatest common factor 46476 and 46495 is 1.

Also check out the Least Common Multiple of 46476 and 46495