What is the Greatest Common Factor of 46396 and 46403?

Greatest common factor (GCF) of 46396 and 46403 is 7.

GCF(46396,46403) = 7

We will now calculate the prime factors of 46396 and 46403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46396 and 46403.

How to find the GCF of 46396 and 46403?

We will first find the prime factorization of 46396 and 46403. After we will calculate the factors of 46396 and 46403 and find the biggest common factor number .

Step-1: Prime Factorization of 46396

Prime factors of 46396 are 2, 7, 1657. Prime factorization of 46396 in exponential form is:

46396 = 2² × 7¹ × 1657¹

Step-2: Prime Factorization of 46403

Prime factors of 46403 are 7, 947. Prime factorization of 46403 in exponential form is:

46403 = 7² × 947¹

Step-3: Factors of 46396

List of positive integer factors of 46396 that divides 46396 without a remainder.

1, 2, 4, 7, 14, 28, 1657, 3314, 6628, 11599, 23198

Step-4: Factors of 46403

List of positive integer factors of 46403 that divides 46396 without a remainder.

1, 7, 49, 947, 6629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46396 and 46403. The biggest common factor number is the GCF number.
So the greatest common factor 46396 and 46403 is 7.

Also check out the Least Common Multiple of 46396 and 46403