What is the Greatest Common Factor of 46224 and 46240?

Greatest common factor (GCF) of 46224 and 46240 is 16.

GCF(46224,46240) = 16

We will now calculate the prime factors of 46224 and 46240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46224 and 46240.

How to find the GCF of 46224 and 46240?

We will first find the prime factorization of 46224 and 46240. After we will calculate the factors of 46224 and 46240 and find the biggest common factor number .

Step-1: Prime Factorization of 46224

Prime factors of 46224 are 2, 3, 107. Prime factorization of 46224 in exponential form is:

46224 = 2⁴ × 3³ × 107¹

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 46224

List of positive integer factors of 46224 that divides 46224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 107, 108, 144, 214, 216, 321, 428, 432, 642, 856, 963, 1284, 1712, 1926, 2568, 2889, 3852, 5136, 5778, 7704, 11556, 15408, 23112

Step-4: Factors of 46240

List of positive integer factors of 46240 that divides 46224 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 46224 and 46240. The biggest common factor number is the GCF number.
So the greatest common factor 46224 and 46240 is 16.

Also check out the Least Common Multiple of 46224 and 46240