What is the Greatest Common Factor of 46536 and 46547?

Greatest common factor (GCF) of 46536 and 46547 is 1.

GCF(46536,46547) = 1

We will now calculate the prime factors of 46536 and 46547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46536 and 46547.

How to find the GCF of 46536 and 46547?

We will first find the prime factorization of 46536 and 46547. After we will calculate the factors of 46536 and 46547 and find the biggest common factor number .

Step-1: Prime Factorization of 46536

Prime factors of 46536 are 2, 3, 7, 277. Prime factorization of 46536 in exponential form is:

46536 = 2³ × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 46547

Prime factors of 46547 are 89, 523. Prime factorization of 46547 in exponential form is:

46547 = 89¹ × 523¹

Step-3: Factors of 46536

List of positive integer factors of 46536 that divides 46536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268

Step-4: Factors of 46547

List of positive integer factors of 46547 that divides 46536 without a remainder.

1, 89, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46536 and 46547. The biggest common factor number is the GCF number.
So the greatest common factor 46536 and 46547 is 1.

Also check out the Least Common Multiple of 46536 and 46547