What is the Greatest Common Factor of 46228 and 46240?

Greatest common factor (GCF) of 46228 and 46240 is 4.

GCF(46228,46240) = 4

We will now calculate the prime factors of 46228 and 46240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46228 and 46240.

How to find the GCF of 46228 and 46240?

We will first find the prime factorization of 46228 and 46240. After we will calculate the factors of 46228 and 46240 and find the biggest common factor number .

Step-1: Prime Factorization of 46228

Prime factors of 46228 are 2, 7, 13, 127. Prime factorization of 46228 in exponential form is:

46228 = 2² × 7¹ × 13¹ × 127¹

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 46228

List of positive integer factors of 46228 that divides 46228 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 127, 182, 254, 364, 508, 889, 1651, 1778, 3302, 3556, 6604, 11557, 23114

Step-4: Factors of 46240

List of positive integer factors of 46240 that divides 46228 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 46228 and 46240. The biggest common factor number is the GCF number.
So the greatest common factor 46228 and 46240 is 4.

Also check out the Least Common Multiple of 46228 and 46240