What is the Greatest Common Factor of 46688 and 46692?

Greatest common factor (GCF) of 46688 and 46692 is 4.

GCF(46688,46692) = 4

We will now calculate the prime factors of 46688 and 46692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46688 and 46692.

How to find the GCF of 46688 and 46692?

We will first find the prime factorization of 46688 and 46692. After we will calculate the factors of 46688 and 46692 and find the biggest common factor number .

Step-1: Prime Factorization of 46688

Prime factors of 46688 are 2, 1459. Prime factorization of 46688 in exponential form is:

46688 = 2⁵ × 1459¹

Step-2: Prime Factorization of 46692

Prime factors of 46692 are 2, 3, 1297. Prime factorization of 46692 in exponential form is:

46692 = 2² × 3² × 1297¹

Step-3: Factors of 46688

List of positive integer factors of 46688 that divides 46688 without a remainder.

1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344

Step-4: Factors of 46692

List of positive integer factors of 46692 that divides 46688 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1297, 2594, 3891, 5188, 7782, 11673, 15564, 23346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46688 and 46692. The biggest common factor number is the GCF number.
So the greatest common factor 46688 and 46692 is 4.

Also check out the Least Common Multiple of 46688 and 46692