What is the Greatest Common Factor of 46892 and 46896?

Greatest common factor (GCF) of 46892 and 46896 is 4.

GCF(46892,46896) = 4

We will now calculate the prime factors of 46892 and 46896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46892 and 46896.

How to find the GCF of 46892 and 46896?

We will first find the prime factorization of 46892 and 46896. After we will calculate the factors of 46892 and 46896 and find the biggest common factor number .

Step-1: Prime Factorization of 46892

Prime factors of 46892 are 2, 19, 617. Prime factorization of 46892 in exponential form is:

46892 = 2² × 19¹ × 617¹

Step-2: Prime Factorization of 46896

Prime factors of 46896 are 2, 3, 977. Prime factorization of 46896 in exponential form is:

46896 = 2⁴ × 3¹ × 977¹

Step-3: Factors of 46892

List of positive integer factors of 46892 that divides 46892 without a remainder.

1, 2, 4, 19, 38, 76, 617, 1234, 2468, 11723, 23446

Step-4: Factors of 46896

List of positive integer factors of 46896 that divides 46892 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 977, 1954, 2931, 3908, 5862, 7816, 11724, 15632, 23448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46892 and 46896. The biggest common factor number is the GCF number.
So the greatest common factor 46892 and 46896 is 4.

Also check out the Least Common Multiple of 46892 and 46896