What is the Greatest Common Factor of 46776 and 46788?

Greatest common factor (GCF) of 46776 and 46788 is 12.

GCF(46776,46788) = 12

We will now calculate the prime factors of 46776 and 46788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46776 and 46788.

How to find the GCF of 46776 and 46788?

We will first find the prime factorization of 46776 and 46788. After we will calculate the factors of 46776 and 46788 and find the biggest common factor number .

Step-1: Prime Factorization of 46776

Prime factors of 46776 are 2, 3, 1949. Prime factorization of 46776 in exponential form is:

46776 = 2³ × 3¹ × 1949¹

Step-2: Prime Factorization of 46788

Prime factors of 46788 are 2, 3, 7, 557. Prime factorization of 46788 in exponential form is:

46788 = 2² × 3¹ × 7¹ × 557¹

Step-3: Factors of 46776

List of positive integer factors of 46776 that divides 46776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1949, 3898, 5847, 7796, 11694, 15592, 23388

Step-4: Factors of 46788

List of positive integer factors of 46788 that divides 46776 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 557, 1114, 1671, 2228, 3342, 3899, 6684, 7798, 11697, 15596, 23394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46776 and 46788. The biggest common factor number is the GCF number.
So the greatest common factor 46776 and 46788 is 12.

Also check out the Least Common Multiple of 46776 and 46788