What is the Greatest Common Factor of 46669 and 46676?

Greatest common factor (GCF) of 46669 and 46676 is 7.

GCF(46669,46676) = 7

We will now calculate the prime factors of 46669 and 46676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46669 and 46676.

How to find the GCF of 46669 and 46676?

We will first find the prime factorization of 46669 and 46676. After we will calculate the factors of 46669 and 46676 and find the biggest common factor number .

Step-1: Prime Factorization of 46669

Prime factors of 46669 are 7, 59, 113. Prime factorization of 46669 in exponential form is:

46669 = 7¹ × 59¹ × 113¹

Step-2: Prime Factorization of 46676

Prime factors of 46676 are 2, 7, 1667. Prime factorization of 46676 in exponential form is:

46676 = 2² × 7¹ × 1667¹

Step-3: Factors of 46669

List of positive integer factors of 46669 that divides 46669 without a remainder.

1, 7, 59, 113, 413, 791, 6667

Step-4: Factors of 46676

List of positive integer factors of 46676 that divides 46669 without a remainder.

1, 2, 4, 7, 14, 28, 1667, 3334, 6668, 11669, 23338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46669 and 46676. The biggest common factor number is the GCF number.
So the greatest common factor 46669 and 46676 is 7.

Also check out the Least Common Multiple of 46669 and 46676