What is the Greatest Common Factor of 46223 and 46240?

Greatest common factor (GCF) of 46223 and 46240 is 17.

GCF(46223,46240) = 17

We will now calculate the prime factors of 46223 and 46240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46223 and 46240.

How to find the GCF of 46223 and 46240?

We will first find the prime factorization of 46223 and 46240. After we will calculate the factors of 46223 and 46240 and find the biggest common factor number .

Step-1: Prime Factorization of 46223

Prime factors of 46223 are 17, 2719. Prime factorization of 46223 in exponential form is:

46223 = 17¹ × 2719¹

Step-2: Prime Factorization of 46240

Prime factors of 46240 are 2, 5, 17. Prime factorization of 46240 in exponential form is:

46240 = 2⁵ × 5¹ × 17²

Step-3: Factors of 46223

List of positive integer factors of 46223 that divides 46223 without a remainder.

1, 17, 2719

Step-4: Factors of 46240

List of positive integer factors of 46240 that divides 46223 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 289, 340, 544, 578, 680, 1156, 1360, 1445, 2312, 2720, 2890, 4624, 5780, 9248, 11560, 23120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46223 and 46240. The biggest common factor number is the GCF number.
So the greatest common factor 46223 and 46240 is 17.

Also check out the Least Common Multiple of 46223 and 46240